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10995262873120 = 255591247993337
BaseRepresentation
bin1010000000000000100010…
…1111001101111000100000
31102221010200202220200212201
42200000020233031320200
52420121244243414440
635215053134302544
72213244602234641
oct240001057157040
942833622820781
1010995262873120
11355a079278419
121296b57357a54
13619b05b943b6
142a02603816c8
1514102a87b19a
hexa0008bcde20

10995262873120 has 96 divisors (see below), whose sum is σ = 26418984883200. Its totient is φ = 4323168208896.

The previous prime is 10995262873103. The next prime is 10995262873129. The reversal of 10995262873120 is 2137826259901.

It is a super-2 number, since 2×109952628731202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10995262873129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117755092 + ... + 117848428.

It is an arithmetic number, because the mean of its divisors is an integer number (275197759200).

Almost surely, 210995262873120 is an apocalyptic number.

10995262873120 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 10995262873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209492441600).

10995262873120 is an abundant number, since it is smaller than the sum of its proper divisors (15423722010080).

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

10995262873120 is a wasteful number, since it uses less digits than its factorization.

10995262873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105890 (or 105882 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 10995262873120 in words is "ten trillion, nine hundred ninety-five billion, two hundred sixty-two million, eight hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 12479 24958 49916 62395 93337 99832 124790 186674 199664 249580 373348 399328 466685 499160 736261 746696 933370 998320 1472522 1493392 1866740 1996640 2945044 2986784 3681305 3733480 5506883 5890088 7362610 7466960 11013766 11780176 14725220 14933920 22027532 23560352 27534415 29450440 44055064 55068830 58900880 88110128 110137660 117801760 176220256 220275320 440550640 881101280 1164752423 2329504846 4659009692 5823762115 9318019384 11647524230 18636038768 23295048460 37272077536 46590096920 68720392957 93180193840 137440785914 186360387680 274881571828 343601964785 549763143656 687203929570 1099526287312 1374407859140 2199052574624 2748815718280 5497631436560 10995262873120