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10226388528 = 243271016587
BaseRepresentation
bin10011000011000101…
…00100111000110000
3222101200202100210200
421201202210320300
5131420423413103
64410430555200
7511263603546
oct114142447060
928350670720
1010226388528
114378591074
121b94968b00
13c6c883995
146d0253d96
153ecbcb0a3
hex2618a4e30

10226388528 has 30 divisors (see below), whose sum is σ = 28619684964. Its totient is φ = 3408796128.

The previous prime is 10226388509. The next prime is 10226388533. The reversal of 10226388528 is 82588362201.

10226388528 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 638 + 8 + 5 + 2 + 8 = 666.

It is a super-2 number, since 2×102263885282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35508150 + ... + 35508437.

Almost surely, 210226388528 is an apocalyptic number.

10226388528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10226388528 is an abundant number, since it is smaller than the sum of its proper divisors (18393296436).

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

10226388528 is a wasteful number, since it uses less digits than its factorization.

10226388528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71016601 (or 71016592 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10226388528 in words is "ten billion, two hundred twenty-six million, three hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 71016587 142033174 213049761 284066348 426099522 568132696 639149283 852199044 1136265392 1278298566 1704398088 2556597132 3408796176 5113194264 10226388528