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9972091661 = 747144720947
BaseRepresentation
bin10010100100110001…
…00000101100001101
3221201222020202002012
421102120200230031
5130410323413121
64325304311005
7502055244350
oct112230405415
927658222065
109972091661
114257a93074
121b23772465
13c2bc9856c
146a857a297
153d56e8c5b
hex252620b0d

9972091661 has 16 divisors (see below), whose sum is σ = 11647758336. Its totient is φ = 8359464816.

The previous prime is 9972091643. The next prime is 9972091691. The reversal of 9972091661 is 1661902799.

It is a cyclic number.

It is not a de Polignac number, because 9972091661 - 210 = 9972090637 is a prime.

It is a super-2 number, since 2×99720916612 (a number of 21 digits) contains 22 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 (9972091631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465590 + ... + 486536.

It is an arithmetic number, because the mean of its divisors is an integer number (727984896).

Almost surely, 29972091661 is an apocalyptic number.

It is an amenable number.

9972091661 is a deficient number, since it is larger than the sum of its proper divisors (1675666675).

9972091661 is a wasteful number, since it uses less digits than its factorization.

9972091661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448.

The product of its (nonzero) digits is 367416, while the sum is 50.

The square root of 9972091661 is about 99860.3608094824. The cubic root of 9972091661 is about 2152.4285995283.

The spelling of 9972091661 in words is "nine billion, nine hundred seventy-two million, ninety-one thousand, six hundred sixty-one".

Divisors: 1 7 47 329 1447 10129 20947 68009 146629 476063 984509 6891563 30310309 212172163 1424584523 9972091661