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1104456857292 = 2232798311094219
BaseRepresentation
bin10000000100100110110…
…000100011011011001100
310220120210111102120120100
4100010212300203123030
5121043411423413132
62203214103251100
7142536320250405
oct20044660433314
93816714376510
101104456857292
11396441114928
1215a074449a90
13801c4257939
143b6553829ac
151dae1dbb37c
hex10126c236cc

1104456857292 has 144 divisors (see below), whose sum is σ = 2864481984000. Its totient is φ = 358703849088.

The previous prime is 1104456857291. The next prime is 1104456857297. The reversal of 1104456857292 is 2927586544011.

1104456857292 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 4 + 5 + 68 + 572 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1104456857291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261779559 + ... + 261783777.

It is an arithmetic number, because the mean of its divisors is an integer number (19892236000).

Almost surely, 21104456857292 is an apocalyptic number.

1104456857292 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 1104456857292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432240992000).

1104456857292 is an abundant number, since it is smaller than the sum of its proper divisors (1760025126708).

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

1104456857292 is a wasteful number, since it uses less digits than its factorization.

1104456857292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1104456857292 in words is "one trillion, one hundred four billion, four hundred fifty-six million, eight hundred fifty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 83 158 166 237 249 316 332 474 498 711 747 948 996 1109 1422 1494 2218 2844 2988 3327 4219 4436 6557 6654 8438 9981 12657 13114 13308 16876 19671 19962 25314 26228 37971 39342 39924 50628 59013 75942 78684 87611 92047 118026 151884 175222 184094 236052 262833 276141 333301 350177 350444 368188 525666 552282 666602 700354 788499 828423 999903 1050531 1051332 1104564 1333204 1400708 1576998 1656846 1999806 2101062 2999709 3151593 3153996 3313692 3999612 4202124 4678871 5999418 6303186 7271713 9357742 11998836 12606372 14036613 14543426 18715484 21815139 27663983 28073226 29086852 42109839 43630278 55327966 56146452 65445417 82991949 84219678 87260556 110655932 130890834 165983898 168439356 248975847 261781668 331967796 369630809 388346293 497951694 739261618 776692586 995903388 1108892427 1165038879 1478523236 1553385172 2217784854 2330077758 3326677281 3495116637 4435569708 4660155516 6653354562 6990233274 13306709124 13980466548 30679357147 61358714294 92038071441 122717428588 184076142882 276114214323 368152285764 552228428646 1104456857292