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10145752668 = 2232316389101
BaseRepresentation
bin10010111001011101…
…11110011001011100
3222012002000122012100
421130232332121130
5131234303041133
64354430405100
7506264321562
oct113456763134
928162018170
1010145752668
114337016167
121b71960790
13c58c6005c
146c3663a32
153e5a9de13
hex25cbbe65c

10145752668 has 36 divisors (see below), whose sum is σ = 25654604248. Its totient is φ = 3380810400.

The previous prime is 10145752613. The next prime is 10145752679. The reversal of 10145752668 is 86625754101.

10145752668 is a `hidden beast` number, since 1 + 0 + 14 + 57 + 526 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69318 + ... + 158418.

Almost surely, 210145752668 is an apocalyptic number.

10145752668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10145752668 is an abundant number, since it is smaller than the sum of its proper divisors (15508851580).

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

10145752668 is a wasteful number, since it uses less digits than its factorization.

10145752668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92274 (or 92269 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10145752668 in words is "ten billion, one hundred forty-five million, seven hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3163 6326 9489 12652 18978 28467 37956 56934 89101 113868 178202 267303 356404 534606 801909 1069212 1603818 3207636 281826463 563652926 845479389 1127305852 1690958778 2536438167 3381917556 5072876334 10145752668