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9970960644 = 22322322354001
BaseRepresentation
bin10010100100101000…
…01100100100000100
3221201220010021121200
421102110030210010
5130410031220034
64325224142500
7502042524051
oct112224144404
927656107550
109970960644
114257390347
121b23307a30
13c2b990818
146a8364028
153d5573a99
hex25250c904

9970960644 has 72 divisors (see below), whose sum is σ = 26418642432. Its totient is φ = 3164832000.

The previous prime is 9970960613. The next prime is 9970960661. The reversal of 9970960644 is 4460690799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157644 + ... + 211644.

Almost surely, 29970960644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970960644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209321216).

9970960644 is an abundant number, since it is smaller than the sum of its proper divisors (16447681788).

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

9970960644 is a wasteful number, since it uses less digits than its factorization.

9970960644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54257 (or 54252 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9970960644 is about 99854.6976561444. The cubic root of 9970960644 is about 2152.3472215700.

The spelling of 9970960644 in words is "nine billion, nine hundred seventy million, nine hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 223 276 414 446 669 828 892 1338 2007 2676 4014 5129 8028 10258 15387 20516 30774 46161 54001 61548 92322 108002 162003 184644 216004 324006 486009 648012 972018 1242023 1944036 2484046 3726069 4968092 7452138 11178207 12042223 14904276 22356414 24084446 36126669 44712828 48168892 72253338 108380007 144506676 216760014 276971129 433520028 553942258 830913387 1107884516 1661826774 2492740161 3323653548 4985480322 9970960644