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13820700036 = 22311138054021
BaseRepresentation
bin11001101111100011…
…10010010110000100
31022200012002022021010
430313301302112010
5211301044400121
610203225322220
7666330004053
oct146761622604
938605068233
1013820700036
115952474550
122818636370
1313c3421820
1495176239a
1555d517376
hex337c72584

13820700036 has 48 divisors (see below), whose sum is σ = 37886119488. Its totient is φ = 3865929600.

The previous prime is 13820700031. The next prime is 13820700071. The reversal of 13820700036 is 63000702831.

13820700036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13820699976 and 13820700012.

It is not an unprimeable number, because it can be changed into a prime (13820700031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025295 + ... + 4028726.

It is an arithmetic number, because the mean of its divisors is an integer number (789294156).

Almost surely, 213820700036 is an apocalyptic number.

It is an amenable number.

13820700036 is an abundant number, since it is smaller than the sum of its proper divisors (24065419452).

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

13820700036 is a wasteful number, since it uses less digits than its factorization.

13820700036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054052 (or 8054050 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13820700036 in words is "thirteen billion, eight hundred twenty million, seven hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 8054021 16108042 24162063 32216084 48324126 88594231 96648252 104702273 177188462 209404546 265782693 314106819 354376924 418809092 531565386 628213638 1063130772 1151725003 1256427276 2303450006 3455175009 4606900012 6910350018 13820700036