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189693665280 = 2133257195373
BaseRepresentation
bin1011000010101010011…
…1111010000000000000
3200010122002002122010200
42300222213322000000
511101443034242110
6223051041325200
716463533356630
oct2605247720000
9603562078120
10189693665280
11734a31463a9
1230920036800
1314b71026772
1492773ba6c0
154e037556c0
hex2c2a9fa000

189693665280 has 1344 divisors, whose sum is σ = 817021520640. Its totient is φ = 39749419008.

The previous prime is 189693665269. The next prime is 189693665363. The reversal of 189693665280 is 82566396981.

189693665280 is a `hidden beast` number, since 18 + 9 + 6 + 93 + 6 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 2598543324 + ... + 2598543396.

Almost surely, 2189693665280 is an apocalyptic number.

189693665280 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 189693665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408510760320).

189693665280 is an abundant number, since it is smaller than the sum of its proper divisors (627327855360).

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

189693665280 is a wasteful number, since it uses less digits than its factorization.

189693665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 189693665280 in words is "one hundred eighty-nine billion, six hundred ninety-three million, six hundred sixty-five thousand, two hundred eighty".