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9921660008 = 2313196138191
BaseRepresentation
bin10010011110110000…
…01000010001101000
3221121110100112212012
421033120020101220
5130304421110013
64320303335052
7500603501321
oct111730102150
927543315765
109921660008
114231578017
121b0a8b1488
13c216bb850
146a19ad448
153d10861a8
hex24f608468

9921660008 has 64 divisors (see below), whose sum is σ = 21125529600. Its totient is φ = 4330609920.

The previous prime is 9921659977. The next prime is 9921660041. The reversal of 9921660008 is 8000661299.

It is an unprimeable number.

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, 1207193 + ... + 1215383.

It is an arithmetic number, because the mean of its divisors is an integer number (330086400).

Almost surely, 29921660008 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 9921660008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562764800).

9921660008 is an abundant number, since it is smaller than the sum of its proper divisors (11203869592).

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

9921660008 is a wasteful number, since it uses less digits than its factorization.

9921660008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 9921660008 is about 99607.5298760089. The cubic root of 9921660008 is about 2148.7939879903.

The spelling of 9921660008 in words is "nine billion, nine hundred twenty-one million, six hundred sixty thousand, eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 613 988 1226 1976 2452 4904 7969 8191 11647 15938 16382 23294 31876 32764 46588 63752 65528 93176 106483 151411 155629 212966 302822 311258 425932 605644 622516 851864 1211288 1245032 2023177 4046354 5021083 8092708 10042166 16185416 20084332 40168664 65274079 95400577 130548158 190801154 261096316 381602308 522192632 763204616 1240207501 2480415002 4960830004 9921660008