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12897137160 = 23325233153757
BaseRepresentation
bin11000000001011101…
…01011001000001000
31020021211020110011200
430000232223020020
5202403131342120
65531434224200
7634413566655
oct140056531010
936254213150
1012897137160
115519109046
1225bb285060
1312a6c9810b
148a4c30c2c
155073d3e90
hex300bab208

12897137160 has 96 divisors (see below), whose sum is σ = 42095865240. Its totient is φ = 3424453632.

The previous prime is 12897137059. The next prime is 12897137171. The reversal of 12897137160 is 6173179821.

It can be written as a sum of positive squares in 4 ways, for example, as 10878072804 + 2019064356 = 104298^2 + 44934^2 .

It is a super-2 number, since 2×128971371602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7002 + ... + 160758.

Almost surely, 212897137160 is an apocalyptic number.

12897137160 is a gapful number since it is divisible by the number (10) 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 12897137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047932620).

12897137160 is an abundant number, since it is smaller than the sum of its proper divisors (29198728080).

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

12897137160 is a wasteful number, since it uses less digits than its factorization.

12897137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154007 (or 154000 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12897137160 in words is "twelve billion, eight hundred ninety-seven million, one hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 932 1165 1398 1864 2097 2330 2796 3495 4194 4660 5592 6990 8388 9320 10485 13980 16776 20970 27960 41940 83880 153757 307514 461271 615028 768785 922542 1230056 1383813 1537570 1845084 2306355 2767626 3075140 3690168 4612710 5535252 6150280 6919065 9225420 11070504 13838130 18450840 27676260 35825381 55352520 71650762 107476143 143301524 179126905 214952286 286603048 322428429 358253810 429904572 537380715 644856858 716507620 859809144 1074761430 1289713716 1433015240 1612142145 2149522860 2579427432 3224284290 4299045720 6448568580 12897137160