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10999058443392 = 273113290387317
BaseRepresentation
bin1010000000001110101011…
…1110001010110010000000
31102221111111021221122110110
42200003222332022302000
52420202032430142032
635220521522431320
72213440631114325
oct240035276126200
942844437848413
1010999058443392
113560746823558
121297836502540
1361a28c33a476
142a05004bcb4c
1514119dbbe7cc
hexa00eaf8ac80

10999058443392 has 128 divisors (see below), whose sum is σ = 29485290764160. Its totient is φ = 3632613834752.

The previous prime is 10999058443391. The next prime is 10999058443493. The reversal of 10999058443392 is 29334485099901.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10999058443391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125923318 + ... + 126010634.

It is an arithmetic number, because the mean of its divisors is an integer number (230353834095).

Almost surely, 210999058443392 is an apocalyptic number.

10999058443392 is a gapful number since it is divisible by the number (12) 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 10999058443392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742645382080).

10999058443392 is an abundant number, since it is smaller than the sum of its proper divisors (18486232320768).

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

10999058443392 is a wasteful number, since it uses less digits than its factorization.

10999058443392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90350 (or 90338 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 10999058443392 in words is "ten trillion, nine hundred ninety-nine billion, fifty-eight million, four hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 2712 2903 3616 5424 5806 7232 8709 10848 11612 14464 17418 21696 23224 34836 43392 46448 69672 87317 92896 139344 174634 185792 261951 278688 328039 349268 371584 523902 557376 656078 698536 984117 1047804 1114752 1312156 1397072 1968234 2095608 2624312 2794144 3936468 4191216 5248624 5588288 7872936 8382432 9866821 10497248 11176576 15745872 16764864 19733642 20994496 29600463 31491744 33529728 39467284 41988992 59200926 62983488 78934568 118401852 125966976 157869136 236803704 253481251 315738272 473607408 506962502 631476544 760443753 947214816 1013925004 1262953088 1520887506 1894429632 2027850008 3041775012 3788859264 4055700016 6083550024 8111400032 12167100048 16222800064 24334200096 28643381363 32445600128 48668400192 57286762726 85930144089 97336800384 114573525452 171860288178 229147050904 343720576356 458294101808 687441152712 916588203616 1374882305424 1833176407232 2749764610848 3666352814464 5499529221696 10999058443392