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151132762115352 = 23331937693976991
BaseRepresentation
bin100010010111010001010110…
…100110011000110100011000
3201211010011002001020110111000
4202113101112212120310120
5124302124344100142402
61253233233223305000
743555660506650253
oct4227212646306430
9654104061213430
10151132762115352
1144179054211446
1214b4a6602ab160
1366439b2030754
142946c16ad009a
15127149b25dc1c
hex897456998d18

151132762115352 has 128 divisors (see below), whose sum is σ = 441920837376000. Its totient is φ = 47724820375680.

The previous prime is 151132762115303. The next prime is 151132762115383. The reversal of 151132762115352 is 253511267231151.

151132762115352 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 3 + 2 + 7 + 621 + 15 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1511327621153522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151132762115298 and 151132762115307.

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, 154203577 + ... + 155180567.

It is an arithmetic number, because the mean of its divisors is an integer number (3452506542000).

Almost surely, 2151132762115352 is an apocalyptic number.

151132762115352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151132762115352 is an abundant number, since it is smaller than the sum of its proper divisors (290788075260648).

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

151132762115352 is a wasteful number, since it uses less digits than its factorization.

151132762115352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014718 (or 1014708 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 151132762115352 in words is "one hundred fifty-one trillion, one hundred thirty-two billion, seven hundred sixty-two million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 37693 75386 113079 150772 226158 301544 339237 452316 678474 716167 904632 976991 1017711 1356948 1432334 1953982 2035422 2148501 2713896 2864668 2930973 3907964 4070844 4297002 5729336 5861946 6445503 7815928 8141688 8594004 8792919 11723892 12891006 17188008 17585838 18562829 19336509 23447784 25782012 26378757 35171676 37125658 38673018 51564024 52757514 55688487 70343352 74251316 77346036 105515028 111376974 148502632 154692072 167065461 211030056 222753948 334130922 445507896 501196383 668261844 1002392766 1336523688 2004785532 4009571064 36825721763 73651443526 110477165289 147302887052 220954330578 294605774104 331431495867 441908661156 662862991734 699688713497 883817322312 994294487601 1325725983468 1399377426994 1988588975202 2099066140491 2651451966936 2798754853988 3977177950404 4198132280982 5597509707976 6297198421473 7954355900808 8396264561964 12594396842946 16792529123928 18891595264419 25188793685892 37783190528838 50377587371784 75566381057676 151132762115352