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12397660740 = 2235519316171
BaseRepresentation
bin10111000101111010…
…10100101001000100
31012000000101102100000
423202331110221010
5200342300120430
65410112521300
7616140243333
oct134275245104
935000342300
1012397660740
11529217a013
12249bb50230
13122766743a
14858773d1a
154c8620e60
hex2e2f54a44

12397660740 has 576 divisors, whose sum is σ = 43677204480. Its totient is φ = 2939328000.

The previous prime is 12397660727. The next prime is 12397660757. The reversal of 12397660740 is 4706679321.

12397660740 is a `hidden beast` number, since 1 + 2 + 39 + 7 + 6 + 607 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 174614905 + ... + 174614975.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 212397660740 is an apocalyptic number.

12397660740 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 12397660740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

12397660740 is an abundant number, since it is smaller than the sum of its proper divisors (31279543740).

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

12397660740 is a wasteful number, since it uses less digits than its factorization.

12397660740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12397660740 in words is "twelve billion, three hundred ninety-seven million, six hundred sixty thousand, seven hundred forty".