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20953057608 = 2332768360869
BaseRepresentation
bin10011100000111001…
…100100100101001000
32000002020212121111200
4103200321210211020
5320402440320413
613343052424200
71341144023340
oct234071444510
960066777450
1020953057608
11898250033a
124089178060
131c8bc8a352
14102aad3d20
15829778573
hex4e0e64948

20953057608 has 96 divisors (see below), whose sum is σ = 64950724800. Its totient is φ = 5977724544.

The previous prime is 20953057603. The next prime is 20953057613. The reversal of 20953057608 is 80675035902.

It is a happy number.

20953057608 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 30 + 5 + 7 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (20953057603) and next prime (20953057613).

It is not an unprimeable number, because it can be changed into a prime (20953057603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313798 + ... + 374666.

It is an arithmetic number, because the mean of its divisors is an integer number (676570050).

Almost surely, 220953057608 is an apocalyptic number.

20953057608 is a gapful number since it is divisible by the number (28) 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 20953057608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32475362400).

20953057608 is an abundant number, since it is smaller than the sum of its proper divisors (43997667192).

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

20953057608 is a wasteful number, since it uses less digits than its factorization.

20953057608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61571 (or 61564 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20953057608 in words is "twenty billion, nine hundred fifty-three million, fifty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 683 1366 2049 2732 4098 4781 5464 6147 8196 9562 12294 14343 16392 19124 24588 28686 38248 43029 49176 57372 60869 86058 114744 121738 172116 182607 243476 344232 365214 426083 486952 547821 730428 852166 1095642 1278249 1460856 1704332 2191284 2556498 3408664 3834747 4382568 5112996 7669494 10225992 15338988 30677976 41573527 83147054 124720581 166294108 249441162 291014689 332588216 374161743 498882324 582029378 748323486 873044067 997764648 1164058756 1496646972 1746088134 2328117512 2619132201 2993293944 3492176268 5238264402 6984352536 10476528804 20953057608