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490493044296 = 233319773154613
BaseRepresentation
bin1110010001100111010…
…10011110011001001000
31201220001022012022202000
413020303222132121020
531014012204404141
61013155052111000
750302606041333
oct7106352363110
91656038168660
10490493044296
1117a020599a12
127b089165460
133733a64b6b8
1419a5076561a
15cb5b1b75b6
hex7233a9e648

490493044296 has 128 divisors (see below), whose sum is σ = 1436054832000. Its totient is φ = 154691161344.

The previous prime is 490493044253. The next prime is 490493044309. The reversal of 490493044296 is 692440394094.

It is a happy number.

490493044296 is a `hidden beast` number, since 4 + 9 + 0 + 49 + 304 + 4 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095086 + ... + 3249698.

It is an arithmetic number, because the mean of its divisors is an integer number (11219178375).

Almost surely, 2490493044296 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 490493044296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718027416000).

490493044296 is an abundant number, since it is smaller than the sum of its proper divisors (945561787704).

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

490493044296 is a wasteful number, since it uses less digits than its factorization.

490493044296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155420 (or 155410 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 490493044296 in words is "four hundred ninety billion, four hundred ninety-three million, forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 773 1026 1368 1546 2052 2319 3092 4104 4638 6184 6957 9276 13914 14687 18552 20871 27828 29374 41742 44061 55656 58748 83484 88122 117496 132183 154613 166968 176244 264366 309226 352488 396549 463839 528732 618452 793098 927678 1057464 1236904 1391517 1586196 1855356 2783034 2937647 3172392 3710712 4174551 5566068 5875294 8349102 8812941 11132136 11750588 16698204 17625882 23501176 26438823 33396408 35251764 52877646 70503528 79316469 105755292 119515849 158632938 211510584 239031698 317265876 358547547 478063396 634531752 717095094 956126792 1075642641 1434190188 2151285282 2270801131 2868380376 3226927923 4302570564 4541602262 6453855846 6812403393 8605141128 9083204524 12907711692 13624806786 18166409048 20437210179 25815423384 27249613572 40874420358 54499227144 61311630537 81748840716 122623261074 163497681432 245246522148 490493044296