Search a number
-
+
556140153016 = 237173141459623
BaseRepresentation
bin10000001011111001000…
…10010100100010111000
31222011111100210222100001
420011330202110202320
533102433334344031
61103253125322344
755115446206010
oct10057442244270
91864440728301
10556140153016
111a4948688378
128b94a2663b4
13405a0018426
141ccbb206c40
15e6ee597861
hex817c8948b8

556140153016 has 128 divisors (see below), whose sum is σ = 1334306856960. Its totient is φ = 211793817600.

The previous prime is 556140152969. The next prime is 556140153061. The reversal of 556140153016 is 610351041655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980181 + ... + 1439803.

It is an arithmetic number, because the mean of its divisors is an integer number (10424272320).

Almost surely, 2556140153016 is an apocalyptic number.

556140153016 is a gapful number since it is divisible by the number (56) 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 556140153016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667153428480).

556140153016 is an abundant number, since it is smaller than the sum of its proper divisors (778166703944).

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

556140153016 is a wasteful number, since it uses less digits than its factorization.

556140153016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459725 (or 459721 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 556140153016 in words is "five hundred fifty-six billion, one hundred forty million, one hundred fifty-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 17 28 31 34 41 56 62 68 82 119 124 136 164 217 238 248 287 328 434 476 527 574 697 868 952 1054 1148 1271 1394 1736 2108 2296 2542 2788 3689 4216 4879 5084 5576 7378 8897 9758 10168 14756 17794 19516 21607 29512 35588 39032 43214 71176 86428 151249 172856 302498 459623 604996 919246 1209992 1838492 3217361 3676984 6434722 7813591 12869444 14248313 15627182 18844543 25738888 28496626 31254364 37689086 54695137 56993252 62508728 75378172 99738191 109390274 113986504 131911801 150756344 199476382 218780548 242221321 263823602 320357231 398952764 437561096 484442642 527647204 584180833 640714462 797905528 968885284 1055294408 1168361666 1281428924 1695549247 1937770568 2242500617 2336723332 2562857848 3391098494 4089265831 4485001234 4673446664 6782196988 8178531662 8970002468 9931074161 13564393976 16357063324 17940004936 19862148322 32714126648 39724296644 69517519127 79448593288 139035038254 278070076508 556140153016