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9625041101 = 1329230911057
BaseRepresentation
bin10001111011011001…
…00111100011001101
3220211210012202012202
420331230213203031
5124203002303401
64231030011245
7460342333214
oct107554474315
926753182182
109625041101
11409a0a2925
121a474a6b25
13ba51059c0
1467443a07b
153b4ee406b
hex23db278cd

9625041101 has 16 divisors (see below), whose sum is σ = 10728471600. Its totient is φ = 8573795328.

The previous prime is 9625041073. The next prime is 9625041121. The reversal of 9625041101 is 1011405269.

It can be written as a sum of positive squares in 8 ways, for example, as 272217001 + 9352824100 = 16499^2 + 96710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9625041101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625041121) 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 15 ways as a sum of consecutive naturals, for example, 864965 + ... + 876021.

It is an arithmetic number, because the mean of its divisors is an integer number (670529475).

Almost surely, 29625041101 is an apocalyptic number.

It is an amenable number.

9625041101 is a deficient number, since it is larger than the sum of its proper divisors (1103430499).

9625041101 is a wasteful number, since it uses less digits than its factorization.

9625041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13408.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 9625041101 is about 98107.2938216114. The cubic root of 9625041101 is about 2127.1634603773.

The spelling of 9625041101 in words is "nine billion, six hundred twenty-five million, forty-one thousand, one hundred one".

Divisors: 1 13 29 377 2309 11057 30017 66961 143741 320653 870493 4168489 25530613 331897969 740387777 9625041101