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13832923720 = 23571112773517
BaseRepresentation
bin11001110001000000…
…11010101001001000
31022201001002100000011
430320200122221020
5211312212024340
610204343321304
7666535624450
oct147040325110
938631070004
1013832923720
115959363370
122820750234
1313c5b11585
14953224d60
1555e62e0ea
hex33881aa48

13832923720 has 128 divisors (see below), whose sum is σ = 38845474560. Its totient is φ = 4306959360.

The previous prime is 13832923697. The next prime is 13832923747. The reversal of 13832923720 is 2732923831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3931402 + ... + 3934918.

It is an arithmetic number, because the mean of its divisors is an integer number (303480270).

Almost surely, 213832923720 is an apocalyptic number.

13832923720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832923720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422737280).

13832923720 is an abundant number, since it is smaller than the sum of its proper divisors (25012550840).

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

13832923720 is a wasteful number, since it uses less digits than its factorization.

13832923720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 13832923720 in words is "thirteen billion, eight hundred thirty-two million, nine hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1277 1540 2554 3080 3517 5108 6385 7034 8939 10216 12770 14047 14068 17585 17878 24619 25540 28094 28136 35170 35756 38687 44695 49238 51080 56188 70235 70340 71512 77374 89390 98329 98476 112376 123095 140470 140680 154748 178780 193435 196658 196952 246190 270809 280940 309496 357560 386870 393316 491645 492380 541618 561880 773740 786632 983290 984760 1083236 1354045 1547480 1966580 2166472 2708090 3933160 4491209 5416180 8982418 10832360 17964836 22456045 31438463 35929672 44912090 49403299 62876926 89824180 98806598 125753852 157192315 179648360 197613196 247016495 251507704 314384630 345823093 395226392 494032990 628769260 691646186 988065980 1257538520 1383292372 1729115465 1976131960 2766584744 3458230930 6916461860 13832923720