Search a number
-
+
369298020863344 = 241973307124943399
BaseRepresentation
bin101001111110111111110010…
…1010110011000110101110000
31210102120112202000222101211011
41103331333211112120311300
5341401034321320111334
63345233100234400304
7140533621140100636
oct12375774526306560
91712515660871734
10369298020863344
11a774045821a321
123550451bb90094
1312b0a8669208c1
14672a1961ad356
152ca645065b564
hex14fdfe5598d70

369298020863344 has 160 divisors (see below), whose sum is σ = 766608920000000. Its totient is φ = 171830682796032.

The previous prime is 369298020863309. The next prime is 369298020863347. The reversal of 369298020863344 is 443368020892963.

It is a self number, because there is not a number n which added to its sum of digits gives 369298020863344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369298020863347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8509345357 + ... + 8509388755.

It is an arithmetic number, because the mean of its divisors is an integer number (4791305750000).

Almost surely, 2369298020863344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369298020863344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383304460000000).

369298020863344 is an abundant number, since it is smaller than the sum of its proper divisors (397310899136656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

369298020863344 is a wasteful number, since it uses less digits than its factorization.

369298020863344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45055 (or 45049 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 67.

The spelling of 369298020863344 in words is "three hundred sixty-nine trillion, two hundred ninety-eight billion, twenty million, eight hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 307 584 614 1168 1228 1249 1387 2456 2498 2774 4912 4996 5548 5833 9992 11096 11666 19984 22192 22411 23332 23731 43399 44822 46664 47462 86798 89644 91177 93328 94924 173596 179288 182354 189848 347192 358576 364708 379696 383443 425809 694384 729416 766886 824581 851618 1458832 1533772 1649162 1703236 1732363 3067544 3168127 3298324 3406472 3464726 6135088 6336254 6596648 6812944 6929452 7285417 12672508 13193296 13323493 13858904 14570834 25345016 26646986 27717808 27991339 29141668 50690032 53293972 54205351 55982678 58283336 60194413 106587944 108410702 111965356 116566672 120388826 213175888 216821404 223930712 240777652 253146367 433642808 447861424 481555304 506292734 531835441 867285616 963110608 972614989 1012585468 1029901669 1063670882 1945229978 2025170936 2059803338 2127341764 3890459956 3956990623 4050341872 4119606676 4254683528 7780919912 7913981246 8239213352 8509367056 15561839824 15827962492 16478426704 16641042757 18479684791 31655924984 33282085514 36959369582 63311849968 66564171028 73918739164 75182821837 133128342056 147837478328 150365643674 266256684112 295674956656 300731287348 316179812383 601462574696 632359624766 1202925149392 1214796121261 1264719249532 2429592242522 2529438499064 4859184485044 5058876998128 9718368970088 19436737940176 23081126303959 46162252607918 92324505215836 184649010431672 369298020863344