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6255923478156 = 223211281118747363
BaseRepresentation
bin101101100001001001000…
…0110001011111010001100
3211011001122001201021110100
41123002102012023322030
51304444112402300111
621145533115211100
71213655421120432
oct133022206137214
924131561637410
106255923478156
111aa21387914a0
12850534146a90
13364c146a4541
14178b071b0d52
15acae6d21756
hex5b09218be8c

6255923478156 has 144 divisors (see below), whose sum is σ = 17327526023808. Its totient is φ = 1887356755200.

The previous prime is 6255923478139. The next prime is 6255923478169. The reversal of 6255923478156 is 6518743295526.

6255923478156 is a `hidden beast` number, since 6 + 2 + 5 + 5 + 9 + 2 + 3 + 478 + 156 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6255923478093 and 6255923478102.

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 47 ways as a sum of consecutive naturals, for example, 132060931 + ... + 132108293.

It is an arithmetic number, because the mean of its divisors is an integer number (120330041832).

Almost surely, 26255923478156 is an apocalyptic number.

6255923478156 is a gapful number since it is divisible by the number (66) 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 6255923478156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663763011904).

6255923478156 is an abundant number, since it is smaller than the sum of its proper divisors (11071602545652).

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

6255923478156 is a wasteful number, since it uses less digits than its factorization.

6255923478156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48852 (or 48847 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 6255923478156 in words is "six trillion, two hundred fifty-five billion, nine hundred twenty-three million, four hundred seventy-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1187 1686 2374 2529 3091 3372 3561 4748 5058 6182 7122 9273 10116 10683 12364 13057 14244 18546 21366 26114 27819 37092 39171 42732 47363 52228 55638 78342 94726 111276 117513 142089 156684 189452 235026 284178 333547 426267 470052 520993 568356 667094 852534 1000641 1041986 1334188 1562979 1705068 2001282 2083972 3001923 3125958 3669017 4002564 4688937 6003846 6251916 7338034 9377874 11007051 12007692 13309003 14676068 18755748 22014102 26618006 33021153 39927009 44028204 53236012 56219881 66042306 79854018 112439762 119781027 132084612 146399033 159708036 168659643 224879524 239562054 292798066 337319286 439197099 479124108 505978929 585596132 618418691 674638572 878394198 1011957858 1236837382 1317591297 1756788396 1855256073 2023915716 2473674764 2635182594 3710512146 5270365188 5565768219 7421024292 11131536438 15797786561 22263072876 31595573122 47393359683 63191146244 94786719366 142180079049 173775652171 189573438732 284360158098 347551304342 521326956513 568720316196 695102608684 1042653913026 1563980869539 2085307826052 3127961739078 6255923478156