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66252516552 = 233217167324119
BaseRepresentation
bin111101101100111101…
…010010110011001000
320100000020210120000100
4331230331102303020
52041141121012202
650234101205400
74533541045635
oct755475226310
9210006716010
1066252516552
1126108900312
1210a0ba00860
13632ac39c21
1432c703518c
151acb61a41c
hexf6cf52cc8

66252516552 has 96 divisors (see below), whose sum is σ = 191127081600. Its totient is φ = 20660577792.

The previous prime is 66252516541. The next prime is 66252516563. The reversal of 66252516552 is 25561525266.

66252516552 is a `hidden beast` number, since 6 + 62 + 5 + 25 + 16 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (66252516541) and next prime (66252516563).

It is a junction number, because it is equal to n+sod(n) for n = 66252516498 and 66252516507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42349 + ... + 366467.

It is an arithmetic number, because the mean of its divisors is an integer number (1990907100).

Almost surely, 266252516552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66252516552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95563540800).

66252516552 is an abundant number, since it is smaller than the sum of its proper divisors (124874565048).

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

66252516552 is a wasteful number, since it uses less digits than its factorization.

66252516552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324315 (or 324308 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 66252516552 in words is "sixty-six billion, two hundred fifty-two million, five hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 167 204 306 334 408 501 612 668 1002 1224 1336 1503 2004 2839 3006 4008 5678 6012 8517 11356 12024 17034 22712 25551 34068 51102 68136 102204 204408 324119 648238 972357 1296476 1944714 2592952 2917071 3889428 5510023 5834142 7778856 11020046 11668284 16530069 22040092 23336568 33060138 44080184 49590207 54127873 66120276 99180414 108255746 132240552 162383619 198360828 216511492 324767238 396721656 433022984 487150857 649534476 920173841 974301714 1299068952 1840347682 1948603428 2760521523 3680695364 3897206856 5521043046 7361390728 8281564569 11042086092 16563129138 22084172184 33126258276 66252516552