Search a number
-
+
20949053664 = 2537112834017
BaseRepresentation
bin10011100000101010…
…010011000011100000
32000001222100012010110
4103200222103003200
5320400424204124
613342430531320
71341065006130
oct234052230340
960058305113
1020949053664
1189802160a0
124087966b40
131c8b1b7a56
14102a370ac0
15829237029
hex4e0a930e0

20949053664 has 96 divisors (see below), whose sum is σ = 68560563456. Its totient is φ = 5441310720.

The previous prime is 20949053663. The next prime is 20949053711. The reversal of 20949053664 is 46635094902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949053663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1409617 + ... + 1424400.

It is an arithmetic number, because the mean of its divisors is an integer number (714172536).

Almost surely, 220949053664 is an apocalyptic number.

20949053664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20949053664 is an abundant number, since it is smaller than the sum of its proper divisors (47611509792).

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

20949053664 is a wasteful number, since it uses less digits than its factorization.

20949053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834048 (or 2834040 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 20949053664 in words is "twenty billion, nine hundred forty-nine million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 2834017 5668034 8502051 11336068 17004102 19838119 22672136 31174187 34008204 39676238 45344272 59514357 62348374 68016408 79352476 90688544 93522561 119028714 124696748 136032816 158704952 187045122 218219309 238057428 249393496 272065632 317409904 374090244 436438618 476114856 498786992 634819808 654657927 748180488 872877236 952229712 997573984 1309315854 1496360976 1745754472 1904459424 2618631708 2992721952 3491508944 5237263416 6983017888 10474526832 20949053664