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961268852106 = 233103172827913
BaseRepresentation
bin11011111110100000001…
…01101010010110001010
310101220012110221020212000
431333100011222112022
5111222134311231411
62013333435331430
7126310065266343
oct15772005522612
93356173836760
10961268852106
11340743230262
12136372bb0b76
136c855066954
14347505ad0ca
151a01136a956
hexdfd016a58a

961268852106 has 32 divisors (see below), whose sum is σ = 2156892366720. Its totient is φ = 317312046432.

The previous prime is 961268852099. The next prime is 961268852179. The reversal of 961268852106 is 601258862169.

961268852106 is a `hidden beast` number, since 9 + 612 + 6 + 8 + 8 + 5 + 2 + 10 + 6 = 666.

961268852106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86408395 + ... + 86419518.

It is an arithmetic number, because the mean of its divisors is an integer number (67402886460).

Almost surely, 2961268852106 is an apocalyptic number.

961268852106 is an abundant number, since it is smaller than the sum of its proper divisors (1195623514614).

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

961268852106 is a wasteful number, since it uses less digits than its factorization.

961268852106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172828027 (or 172828021 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 961268852106 in words is "nine hundred sixty-one billion, two hundred sixty-eight million, eight hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 172827913 345655826 518483739 1036967478 1555451217 3110902434 4666353651 9332707302 17801275039 35602550078 53403825117 106807650234 160211475351 320422950702 480634426053 961268852106