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103083625872 = 2432739806281
BaseRepresentation
bin110000000000001000…
…0110100110110010000
3100212002002000202201100
41200000100310312100
53142103402011442
6115204515504400
710306336235253
oct1400020646620
9325062022640
10103083625872
113a799023937
1217b8a5b8100
13994a623836
144dbc7d509a
152a34ceb84c
hex1800434d90

103083625872 has 60 divisors (see below), whose sum is σ = 292442941804. Its totient is φ = 33890503680.

The previous prime is 103083625861. The next prime is 103083625877. The reversal of 103083625872 is 278526380301.

103083625872 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 8 + 3 + 62 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30623600016 + 72460025856 = 174996^2 + 269184^2 .

It is not an unprimeable number, because it can be changed into a prime (103083625877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4892629 + ... + 4913652.

Almost surely, 2103083625872 is an apocalyptic number.

103083625872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103083625872 is an abundant number, since it is smaller than the sum of its proper divisors (189359315932).

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

103083625872 is a wasteful number, since it uses less digits than its factorization.

103083625872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806368 (or 9806359 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103083625872 in words is "one hundred three billion, eighty-three million, six hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 9806281 19612562 29418843 39225124 58837686 78450248 88256529 117675372 156900496 176513058 235350744 353026116 470701488 706052232 715858513 1412104464 1431717026 2147575539 2863434052 4295151078 5726868104 6442726617 8590302156 11453736208 12885453234 17180604312 25770906468 34361208624 51541812936 103083625872