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152814683336680 = 235131337371923269
BaseRepresentation
bin100010101111101111110000…
…111010101010111111101000
3202001001221102000202011122201
4202233233300322222333220
5130012203432413233210
61301002032452225544
744121332211312301
oct4257576072527750
9661057360664581
10152814683336680
1144767385966a32
121518061430b2b4
136736494112441
1429a43ad3857a8
1512a00d981253a
hex8afbf0eaafe8

152814683336680 has 128 divisors (see below), whose sum is σ = 347594154336000. Its totient is φ = 60460405125120.

The previous prime is 152814683336671. The next prime is 152814683336779. The reversal of 152814683336680 is 86633386418251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6567296086 + ... + 6567319354.

It is an arithmetic number, because the mean of its divisors is an integer number (2715579330750).

Almost surely, 2152814683336680 is an apocalyptic number.

152814683336680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152814683336680 is an abundant number, since it is smaller than the sum of its proper divisors (194779470999320).

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

152814683336680 is a wasteful number, since it uses less digits than its factorization.

152814683336680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27467 (or 27463 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 64.

The spelling of 152814683336680 in words is "one hundred fifty-two trillion, eight hundred fourteen billion, six hundred eighty-three million, three hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 131 262 337 524 655 674 1048 1310 1348 1685 2620 2696 3370 3719 5240 6740 7438 13480 14876 18595 23269 29752 37190 44147 46538 74380 88294 93076 116345 148760 176588 186152 220735 232690 353176 441470 465380 487189 882940 930760 974378 1253303 1765880 1948756 2435945 2506606 3048239 3897512 4871890 5013212 6096478 6266515 7841653 9743780 10026424 12192956 12533030 15241195 15683306 19487560 24385912 25066060 30482390 31366612 39208265 50132120 60964780 62733224 78416530 86537411 121929560 156833060 164182693 173074822 313666120 328365386 346149644 432687055 656730772 692299288 820913465 865374110 1027256543 1313461544 1641826930 1730748220 2054513086 3283653860 3461496440 4109026172 5136282715 6567307720 8218052344 10272565430 11336400841 20545130860 22672801682 29163107507 41090261720 45345603364 56682004205 58326215014 90691206728 113364008410 116652430028 145815537535 226728016820 233304860056 291631075070 453456033640 583262150140 1166524300280 3820367083417 7640734166834 15281468333668 19101835417085 30562936667336 38203670834170 76407341668340 152814683336680