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187271381402112 = 293719916702799
BaseRepresentation
bin101010100101001010000100…
…001010100100001000000000
3220120001222011120010011010010
4222211022010022210020000
5144021223242114331422
61502143141314104520
754305624260353150
oct5245120412441000
9816058146104103
10187271381402112
115474138a712767
121900654687b140
138065800306897
143435da9d66760
15169b5598abb0c
hexaa52842a4200

187271381402112 has 160 divisors (see below), whose sum is σ = 600183657216000. Its totient is φ = 50689997918208.

The previous prime is 187271381402047. The next prime is 187271381402153. The reversal of 187271381402112 is 211204183172781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458147112 + ... + 458555687.

It is an arithmetic number, because the mean of its divisors is an integer number (3751147857600).

Almost surely, 2187271381402112 is an apocalyptic number.

187271381402112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

187271381402112 is an abundant number, since it is smaller than the sum of its proper divisors (412912275813888).

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

187271381402112 is an equidigital number, since it uses as much as digits as its factorization.

187271381402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916702846 (or 916702830 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 187271381402112 in words is "one hundred eighty-seven trillion, two hundred seventy-one billion, three hundred eighty-one million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 204288 916702799 1833405598 2750108397 3666811196 5500216794 6416919593 7333622392 11000433588 12833839186 14667244784 17417353181 19250758779 22000867176 25667678372 29334489568 34834706362 38501517558 44001734352 51335356744 52252059543 58668979136 69669412724 77003035116 88003468704 102670713488 104504119086 117337958272 121921472267 139338825448 154006070232 176006937408 205341426976 209008238172 234675916544 243842944534 278677650896 308012140464 352013874816 365764416801 410682853952 418016476344 469351833088 487685889068 557355301792 616024280928 704027749632 731528833602 821365707904 836032952688 975371778136 1114710603584 1232048561856 1408055499264 1463057667204 1642731415808 1672065905376 1950743556272 2229421207168 2464097123712 2926115334408 3285462831616 3344131810752 3901487112544 4458842414336 4928194247424 5852230668816 6688263621504 7802974225088 8917684828672 9856388494848 11704461337632 13376527243008 15605948450176 23408922675264 26753054486016 31211896900352 46817845350528 62423793800704 93635690701056 187271381402112