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10804128156 = 22321919182699
BaseRepresentation
bin10100000111111100…
…11110100110011100
31000212221212120120200
422003332132212130
5134111324100111
64544025543500
7531510400623
oct120376364634
930787776520
1010804128156
114644715438
122116344b90
131032487353
14746c846ba
1543379d256
hex283f9e99c

10804128156 has 72 divisors (see below), whose sum is σ = 28898688000. Its totient is φ = 3393925920.

The previous prime is 10804128119. The next prime is 10804128157. The reversal of 10804128156 is 65182140801.

10804128156 is a `hidden beast` number, since 10 + 80 + 412 + 8 + 156 = 666.

It is a super-2 number, since 2×108041281562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10804128156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10804128157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89295 + ... + 171993.

Almost surely, 210804128156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804128156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449344000).

10804128156 is an abundant number, since it is smaller than the sum of its proper divisors (18094559844).

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

10804128156 is a wasteful number, since it uses less digits than its factorization.

10804128156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82919 (or 82914 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 10804128156 its reverse (65182140801), we get a palindrome (75986268957).

The spelling of 10804128156 in words is "ten billion, eight hundred four million, one hundred twenty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 191 228 342 382 573 684 764 1146 1719 2292 3438 3629 6876 7258 10887 14516 21774 32661 43548 65322 82699 130644 165398 248097 330796 496194 744291 992388 1488582 1571281 2977164 3142562 4713843 6285124 9427686 14141529 15795509 18855372 28283058 31591018 47386527 56566116 63182036 94773054 142159581 189546108 284319162 300114671 568638324 600229342 900344013 1200458684 1800688026 2701032039 3601376052 5402064078 10804128156