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9610000961 = 11312909091
BaseRepresentation
bin10001111001100110…
…01111101001000001
3220210201220122000112
420330303033221001
5124140130012321
64225331401105
7460100442341
oct107463175101
926721818015
109610000961
11409165aa60
121a42453195
13ba1c6b002
14672442d21
153b3a22a5b
hex23cccfa41

9610000961 has 12 divisors (see below), whose sum is σ = 10832740272. Its totient is φ = 8454537000.

The previous prime is 9610000957. The next prime is 9610000963. The reversal of 9610000961 is 1690000169.

It is a happy number.

9610000961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9610000961 - 22 = 9610000957 is a prime.

It is a super-3 number, since 3×96100009613 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9610000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443975 + ... + 465116.

It is an arithmetic number, because the mean of its divisors is an integer number (902728356).

Almost surely, 29610000961 is an apocalyptic number.

It is an amenable number.

9610000961 is a deficient number, since it is larger than the sum of its proper divisors (1222739311).

9610000961 is a wasteful number, since it uses less digits than its factorization.

9610000961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909164 (or 909133 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 9610000961 is about 98030.6123667500. The cubic root of 9610000961 is about 2126.0549104864.

It can be divided in two parts, 9610000 and 961, that multiplied together give a 4-th power (9235210000 = 3104).

The spelling of 9610000961 in words is "nine billion, six hundred ten million, nine hundred sixty-one", and thus it is an aban number.

Divisors: 1 11 31 341 961 10571 909091 10000001 28181821 310000031 873636451 9610000961