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10145645645 = 517971230521
BaseRepresentation
bin10010111001011101…
…00100010001001101
3222012001211012101112
421130232210101031
5131234241130040
64354424221405
7506263364552
oct113456442115
928161735345
1010145645645
114336a52813
121b7190a865
13c58c23425
146c3636a29
153e5a7c365
hex25cba444d

10145645645 has 16 divisors (see below), whose sum is σ = 13023844848. Its totient is φ = 7560314880.

The previous prime is 10145645641. The next prime is 10145645651. The reversal of 10145645645 is 54654654101.

It can be written as a sum of positive squares in 8 ways, for example, as 135443044 + 10010202601 = 11638^2 + 100051^2 .

It is not a de Polignac number, because 10145645645 - 22 = 10145645641 is a prime.

It is a super-3 number, since 3×101456456453 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145645641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607016 + ... + 623505.

It is an arithmetic number, because the mean of its divisors is an integer number (813990303).

Almost surely, 210145645645 is an apocalyptic number.

It is an amenable number.

10145645645 is a deficient number, since it is larger than the sum of its proper divisors (2878199203).

10145645645 is a wasteful number, since it uses less digits than its factorization.

10145645645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230640.

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 10145645645 in words is "ten billion, one hundred forty-five million, six hundred forty-five thousand, six hundred forty-five".

Divisors: 1 5 17 85 97 485 1649 8245 1230521 6152605 20918857 104594285 119360537 596802685 2029129129 10145645645