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69664977912 = 23331717611733
BaseRepresentation
bin100000011100001011…
…0110011001111111000
320122211001221112222010
41000320112303033320
52120133213243122
652000442125520
75014235353605
oct1007026631770
9218731845863
1069664977912
11275aa078012
12116027b08a0
136752c06a2a
14352c3276ac
151c2aed4e0c
hex10385b33f8

69664977912 has 128 divisors (see below), whose sum is σ = 182657617920. Its totient is φ = 22114176000.

The previous prime is 69664977911. The next prime is 69664977919. The reversal of 69664977912 is 21977946696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69664977911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40198198 + ... + 40199930.

It is an arithmetic number, because the mean of its divisors is an integer number (1427012640).

Almost surely, 269664977912 is an apocalyptic number.

69664977912 is a gapful number since it is divisible by the number (62) 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 69664977912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91328808960).

69664977912 is an abundant number, since it is smaller than the sum of its proper divisors (112992640008).

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

69664977912 is a wasteful number, since it uses less digits than its factorization.

69664977912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2601 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 66.

The spelling of 69664977912 in words is "sixty-nine billion, six hundred sixty-four million, nine hundred seventy-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 761 852 1522 1704 1733 2201 2283 3044 3466 4402 4566 5199 6088 6603 6932 8804 9132 10398 13206 13864 17608 18264 20796 23591 26412 41592 47182 52824 53723 54031 70773 94364 107446 108062 123043 141546 161169 162093 188728 214892 216124 246086 283092 322338 324186 369129 429784 432248 492172 566184 644676 648372 738258 984344 1289352 1296744 1318813 1476516 1674961 2637626 2953032 3349922 3814333 3956439 5024883 5275252 6699844 7628666 7912878 10049766 10550504 11442999 13399688 15257332 15825756 20099532 22885998 30514664 31651512 40199064 40883203 45771996 81766406 91543992 93635723 122649609 163532812 187271446 245299218 280907169 327065624 374542892 490598436 561814338 749085784 981196872 1123628676 2247257352 2902707413 5805414826 8708122239 11610829652 17416244478 23221659304 34832488956 69664977912