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102641665005 = 325111910913521
BaseRepresentation
bin101111110010111101…
…0111000001111101101
3100210221021101211101100
41133211322320033231
53140202231240010
6115053011033313
710262361520515
oct1374572701755
9323837354340
10102641665005
113a5915a9120
1217a8659b839
1398a9bb0029
144d79c2a845
152a0b0ea2c0
hex17e5eb83ed

102641665005 has 48 divisors (see below), whose sum is σ = 204301131840. Its totient is φ = 47146406400.

The previous prime is 102641665003. The next prime is 102641665033. The reversal of 102641665005 is 500566146201.

102641665005 is a `hidden beast` number, since 1 + 0 + 2 + 641 + 6 + 6 + 5 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 102641665005 - 21 = 102641665003 is a prime.

It is a super-2 number, since 2×1026416650052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102641665003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5447356 + ... + 5466165.

It is an arithmetic number, because the mean of its divisors is an integer number (4256273580).

Almost surely, 2102641665005 is an apocalyptic number.

102641665005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102641665005 is a deficient number, since it is larger than the sum of its proper divisors (101659466835).

102641665005 is a wasteful number, since it uses less digits than its factorization.

102641665005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913562 (or 10913559 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102641665005 in words is "one hundred two billion, six hundred forty-one million, six hundred sixty-five thousand, five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 1045 1881 3135 9405 10913521 32740563 54567605 98221689 120048731 163702815 207356899 360146193 491108445 600243655 622070697 1036784495 1080438579 1800730965 1866212091 2280925889 3110353485 5402192895 6842777667 9331060455 11404629445 20528333001 34213888335 102641665005