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13656008656 = 241282966529
BaseRepresentation
bin11001011011111011…
…00010011111010000
31022020201012010011101
430231331202133100
5210431414234111
610135023354144
7662260105213
oct145575423720
938221163141
1013656008656
115878508474
122791452954
13139827a8c4
1493793177a
1554dd34bc1
hex32df627d0

13656008656 has 20 divisors (see below), whose sum is σ = 26460976900. Its totient is φ = 6827369472.

The previous prime is 13656008633. The next prime is 13656008657. The reversal of 13656008656 is 65680065631.

It can be written as a sum of positive squares in 2 ways, for example, as 11012403600 + 2643605056 = 104940^2 + 51416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656008657) 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 3 ways as a sum of consecutive naturals, for example, 172000 + ... + 238528.

It is an arithmetic number, because the mean of its divisors is an integer number (1323048845).

Almost surely, 213656008656 is an apocalyptic number.

13656008656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13656008656 is a deficient number, since it is larger than the sum of its proper divisors (12804968244).

13656008656 is a wasteful number, since it uses less digits than its factorization.

13656008656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79366 (or 79360 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 13656008656 in words is "thirteen billion, six hundred fifty-six million, eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 12829 25658 51316 66529 102632 133058 205264 266116 532232 1064464 853500541 1707001082 3414002164 6828004328 13656008656