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188934898464 = 253313314312619
BaseRepresentation
bin1010111111110101100…
…1011100001100100000
3200001200012100021202000
42233331121130030200
511043414313222324
6222443454324000
716435661065524
oct2577531341440
9601605307660
10188934898464
1173143908694
1230749ab9600
1314a7ca7c810
149204705d84
154dabd259c9
hex2bfd65c320

188934898464 has 384 divisors, whose sum is σ = 626888908800. Its totient is φ = 54945838080.

The previous prime is 188934898441. The next prime is 188934898499. The reversal of 188934898464 is 464898439881.

188934898464 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 3 + 489 + 84 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 188934898392 and 188934898401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14965947 + ... + 14978565.

It is an arithmetic number, because the mean of its divisors is an integer number (1632523200).

Almost surely, 2188934898464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188934898464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313444454400).

188934898464 is an abundant number, since it is smaller than the sum of its proper divisors (437954010336).

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

188934898464 is a wasteful number, since it uses less digits than its factorization.

188934898464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12711 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 188934898464 in words is "one hundred eighty-eight billion, nine hundred thirty-four million, eight hundred ninety-eight thousand, four hundred sixty-four".