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13012960692 = 22317196075531
BaseRepresentation
bin11000001111010001…
…00000010110110100
31020120220011220012010
430013220200112310
5203122304220232
65551132524220
7640321224624
oct140750402664
936526156163
1013012960692
115578527a76
122632020670
1312c4c8c054
148b6380884
155126620cc
hex307a205b4

13012960692 has 96 divisors (see below), whose sum is σ = 33903636480. Its totient is φ = 3860559360.

The previous prime is 13012960663. The next prime is 13012960703. The reversal of 13012960692 is 29606921031.

It is a self number, because there is not a number n which added to its sum of digits gives 13012960692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349967 + ... + 2355497.

It is an arithmetic number, because the mean of its divisors is an integer number (353162880).

Almost surely, 213012960692 is an apocalyptic number.

13012960692 is a gapful number since it is divisible by the number (12) 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 13012960692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951818240).

13012960692 is an abundant number, since it is smaller than the sum of its proper divisors (20890675788).

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

13012960692 is a wasteful number, since it uses less digits than its factorization.

13012960692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 13012960692 in words is "thirteen billion, twelve million, nine hundred sixty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 607 646 969 1214 1292 1821 1938 2428 3642 3876 5531 7284 10319 11062 11533 16593 20638 22124 23066 30957 33186 34599 41276 46132 61914 66372 69198 94027 105089 123828 138396 188054 196061 210178 282081 315267 376108 392122 420356 564162 588183 630534 784244 1128324 1176366 1261068 1786513 2352732 3357317 3573026 5359539 6714634 7146052 10071951 10719078 13429268 20143902 21438156 40287804 57074389 63789023 114148778 127578046 171223167 191367069 228297556 255156092 342446334 382734138 684892668 765468276 1084413391 2168826782 3253240173 4337653564 6506480346 13012960692