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190643027328 = 27331347137659
BaseRepresentation
bin1011000110001100110…
…1011011110110000000
3200020002020111020001000
42301203031123312000
511110414103333303
6223325153412000
716526211665205
oct2614315336600
9606066436030
10190643027328
1173940023136
1230b45b6a000
1314c92914060
149327505cac
154e5bc82da3
hex2c6335bd80

190643027328 has 512 divisors, whose sum is σ = 624298752000. Its totient is φ = 56905777152.

The previous prime is 190643027293. The next prime is 190643027347. The reversal of 190643027328 is 823720346091.

190643027328 is a `hidden beast` number, since 19 + 0 + 6 + 4 + 302 + 7 + 328 = 666.

It is a congruent number.

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, 289291063 + ... + 289291721.

It is an arithmetic number, because the mean of its divisors is an integer number (1219333500).

Almost surely, 2190643027328 is an apocalyptic number.

190643027328 is a gapful number since it is divisible by the number (18) 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 190643027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312149376000).

190643027328 is an abundant number, since it is smaller than the sum of its proper divisors (433655724672).

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

190643027328 is a wasteful number, since it uses less digits than its factorization.

190643027328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 190643027328 in words is "one hundred ninety billion, six hundred forty-three million, twenty-seven thousand, three hundred twenty-eight".