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189696608640 = 2735572113173
BaseRepresentation
bin1011000010101011001…
…1001000100110000000
3200010122021122011200000
42300222303020212000
511101444312434030
6223051224400000
716463600366100
oct2605263104600
9603567564600
10189696608640
11734a4876830
1230921016000
1314b718173b6
149277945200
154e03b37860
hex2c2acc8980

189696608640 has 2304 divisors, whose sum is σ = 902050007040. Its totient is φ = 37623398400.

The previous prime is 189696608639. The next prime is 189696608657. The reversal of 189696608640 is 46806696981.

189696608640 is a `hidden beast` number, since 18 + 9 + 6 + 9 + 6 + 608 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2598583644 + ... + 2598583716.

It is an arithmetic number, because the mean of its divisors is an integer number (391514760).

Almost surely, 2189696608640 is an apocalyptic number.

189696608640 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 189696608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451025003520).

189696608640 is an abundant number, since it is smaller than the sum of its proper divisors (712353398400).

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

189696608640 is a wasteful number, since it uses less digits than its factorization.

189696608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 189696608640 in words is "one hundred eighty-nine billion, six hundred ninety-six million, six hundred eight thousand, six hundred forty".