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9990357972 = 223717311271777
BaseRepresentation
bin10010100110111100…
…01100001111010100
3221210020121202202020
421103132030033110
5130430012423342
64331200013140
7502366433040
oct112336141724
927706552666
109990357972
1142673298a1
121b299011b0
13c329c282a
146aab73020
153d71060ec
hex25378c3d4

9990357972 has 192 divisors, whose sum is σ = 29363798016. Its totient is φ = 2577899520.

The previous prime is 9990357953. The next prime is 9990357991. The reversal of 9990357972 is 2797530999.

9990357972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9990357953) and next prime (9990357991).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5621148 + ... + 5622924.

It is an arithmetic number, because the mean of its divisors is an integer number (152936448).

Almost surely, 29990357972 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 9990357972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681899008).

9990357972 is an abundant number, since it is smaller than the sum of its proper divisors (19373440044).

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

9990357972 is a wasteful number, since it uses less digits than its factorization.

9990357972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 60.

The square root of 9990357972 is about 99951.7782333061. The cubic root of 9990357972 is about 2153.7420300424.

The spelling of 9990357972 in words is "nine billion, nine hundred ninety million, three hundred fifty-seven thousand, nine hundred seventy-two".