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13693652640 = 253651937167
BaseRepresentation
bin11001100000011010…
…01000111010100000
31022100100000122000000
430300031020322200
5211021033341030
610142450300000
7663225061353
oct146015107240
938310018000
1013693652640
1158977899a8
1227a1b87600
1313a2ccac55
1493c93029a
155522bd860
hex330348ea0

13693652640 has 672 divisors, whose sum is σ = 52751502720. Its totient is φ = 3345795072.

The previous prime is 13693652633. The next prime is 13693652663. The reversal of 13693652640 is 4625639631.

13693652640 is a `hidden beast` number, since 1 + 36 + 93 + 6 + 526 + 4 + 0 = 666.

It is a super-2 number, since 2×136936526402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81997837 + ... + 81998003.

It is an arithmetic number, because the mean of its divisors is an integer number (78499260).

Almost surely, 213693652640 is an apocalyptic number.

13693652640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13693652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26375751360).

13693652640 is an abundant number, since it is smaller than the sum of its proper divisors (39057850080).

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

13693652640 is a wasteful number, since it uses less digits than its factorization.

13693652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 13693652640 in words is "thirteen billion, six hundred ninety-three million, six hundred fifty-two thousand, six hundred forty".