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14987472100 = 2252413655481
BaseRepresentation
bin11011111010101001…
…01010110011100100
31102200111120110122021
431331110222303210
5221143243101400
610515105312524
71040255260636
oct157524526344
942614513567
1014987472100
1163a1045687
122aa3335744
13154b0809b3
14a226c2a56
155cab8c71a
hex37d52ace4

14987472100 has 36 divisors (see below), whose sum is σ = 33316062948. Its totient is φ = 5848768000.

The previous prime is 14987472077. The next prime is 14987472103. The reversal of 14987472100 is 127478941.

It can be written as a sum of positive squares in 6 ways, for example, as 6020518464 + 8966953636 = 77592^2 + 94694^2 .

It is not an unprimeable number, because it can be changed into a prime (14987472103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823641 + ... + 1831840.

It is an arithmetic number, because the mean of its divisors is an integer number (925446193).

Almost surely, 214987472100 is an apocalyptic number.

14987472100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14987472100 is an abundant number, since it is smaller than the sum of its proper divisors (18328590848).

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

14987472100 is a wasteful number, since it uses less digits than its factorization.

14987472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655536 (or 3655529 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 14987472100 in words is "fourteen billion, nine hundred eighty-seven million, four hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 3655481 7310962 14621924 18277405 36554810 73109620 91387025 149874721 182774050 299749442 365548100 599498884 749373605 1498747210 2997494420 3746868025 7493736050 14987472100