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190904686080 = 2935311316121
BaseRepresentation
bin1011000111001011001…
…1100101011000000000
3200020202110211212100220
42301302303211120000
511111433044423310
6223411141543040
716535540025543
oct2616263453000
9606673755326
10190904686080
1173a6479a239
1230bb9714a80
1315004ba9314
14935017885a
154e74c1b670
hex2c72ce5600

190904686080 has 320 divisors, whose sum is σ = 634898221056. Its totient is φ = 48881664000.

The previous prime is 190904686013. The next prime is 190904686117. The reversal of 190904686080 is 80686409091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31185420 + ... + 31191540.

Almost surely, 2190904686080 is an apocalyptic number.

190904686080 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 190904686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317449110528).

190904686080 is an abundant number, since it is smaller than the sum of its proper divisors (443993534976).

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

190904686080 is a wasteful number, since it uses less digits than its factorization.

190904686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 190904686080 in words is "one hundred ninety billion, nine hundred four million, six hundred eighty-six thousand, eighty".