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10190651328 = 26321113231307
BaseRepresentation
bin10010111110110100…
…01111111111000000
3222022012111201120200
421133122033333000
5131332301320303
64403113005200
7510351051504
oct113732177700
928265451520
1010190651328
11435a3a21a0
121b849b3800
13c65350500
146c95d0304
153e99bc3a3
hex25f68ffc0

10190651328 has 504 divisors, whose sum is σ = 35733874176. Its totient is φ = 2749593600.

The previous prime is 10190651293. The next prime is 10190651347. The reversal of 10190651328 is 82315609101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10190651292 and 10190651301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33194151 + ... + 33194457.

It is an arithmetic number, because the mean of its divisors is an integer number (70900544).

Almost surely, 210190651328 is an apocalyptic number.

10190651328 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 10190651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866937088).

10190651328 is an abundant number, since it is smaller than the sum of its proper divisors (25543222848).

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

10190651328 is a wasteful number, since it uses less digits than its factorization.

10190651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10190651328 in words is "ten billion, one hundred ninety million, six hundred fifty-one thousand, three hundred twenty-eight".