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187480340064 = 25321804136083
BaseRepresentation
bin1010111010011010110…
…0101111011001100000
3122220220211100001201200
42232212230233121200
511032424431340224
6222043254201200
716354636411503
oct2564654573140
9586824301650
10187480340064
1172567845406
1230402953200
13148aa60ab84
14910747113a
154d242a55c9
hex2ba6b2f660

187480340064 has 72 divisors (see below), whose sum is σ = 533191545432. Its totient is φ = 62488250880.

The previous prime is 187480340011. The next prime is 187480340123. The reversal of 187480340064 is 460043084781.

187480340064 is a `hidden beast` number, since 1 + 87 + 480 + 34 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5177767 + ... + 5213849.

It is an arithmetic number, because the mean of its divisors is an integer number (7405438131).

Almost surely, 2187480340064 is an apocalyptic number.

It is an amenable number.

187480340064 is an abundant number, since it is smaller than the sum of its proper divisors (345711205368).

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

187480340064 is a wasteful number, since it uses less digits than its factorization.

187480340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54140 (or 54129 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 187480340064 in words is "one hundred eighty-seven billion, four hundred eighty million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18041 36082 36083 54123 72164 72166 108246 108249 144328 144332 162369 216492 216498 288656 288664 324738 324747 432984 432996 577312 577328 649476 649494 865968 865992 1154656 1298952 1298988 1731936 1731984 2597904 2597976 3463968 5195808 5195952 10391904 650973403 1301946806 1952920209 2603893612 3905840418 5207787224 5858760627 7811680836 10415574448 11717521254 15623361672 20831148896 23435042508 31246723344 46870085016 62493446688 93740170032 187480340064