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102683695968 = 2532731039477
BaseRepresentation
bin101111110100001101…
…1001101101101100000
3100211001012111020000200
41133220123031231200
53140244011232333
6115101111545200
710263412005000
oct1375033155540
9324035436020
10102683695968
113a6032a6657
1217a9868b200
1398b5808119
144d8164c000
152a0eb4dc13
hex17e86cdb60

102683695968 has 144 divisors (see below), whose sum is σ = 340532992800. Its totient is φ = 29338170624.

The previous prime is 102683695967. The next prime is 102683695979. The reversal of 102683695968 is 869596386201.

102683695968 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 36 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102683695967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420955 + ... + 618522.

It is an arithmetic number, because the mean of its divisors is an integer number (2364812450).

Almost surely, 2102683695968 is an apocalyptic number.

102683695968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102683695968 is an abundant number, since it is smaller than the sum of its proper divisors (237849296832).

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

102683695968 is a wasteful number, since it uses less digits than its factorization.

102683695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039514 (or 1039489 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 102683695968 in words is "one hundred two billion, six hundred eighty-three million, six hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 98784 1039477 2078954 3118431 4157908 6236862 7276339 8315816 9355293 12473724 14552678 16631632 18710586 21829017 24947448 29105356 33263264 37421172 43658034 49894896 50934373 58210712 65487051 74842344 87316068 99789792 101868746 116421424 130974102 149684688 152803119 174632136 203737492 232842848 261948204 299369376 305606238 349264272 356540611 407474984 458409357 523896408 611212476 698528544 713081222 814949968 916818714 1047792816 1069621833 1222424952 1426162444 1629899936 1833637428 2095585632 2139243666 2444849904 2852324888 3208865499 3667274856 4278487332 4889699808 5704649776 6417730998 7334549712 8556974664 11409299552 12835461996 14669099424 17113949328 25670923992 34227898656 51341847984 102683695968