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9942589920 = 253583249563
BaseRepresentation
bin10010100001001111…
…11110000111100000
3221122220201220022010
421100213332013200
5130330300334140
64322332112520
7501246422424
oct112047760740
927586656263
109942589920
114242372a6a
121b15905740
13c25b39303
146a469ab84
153d2d1c880
hex2509fe1e0

9942589920 has 96 divisors (see below), whose sum is σ = 31696624512. Its totient is φ = 2619402752.

The previous prime is 9942589849. The next prime is 9942589991. The reversal of 9942589920 is 299852499.

It is an interprime number because it is at equal distance from previous prime (9942589849) and next prime (9942589991).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 84942 + ... + 164621.

It is an arithmetic number, because the mean of its divisors is an integer number (330173172).

Almost surely, 29942589920 is an apocalyptic number.

It is an amenable number.

9942589920 is an abundant number, since it is smaller than the sum of its proper divisors (21754034592).

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

9942589920 is a wasteful number, since it uses less digits than its factorization.

9942589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249664 (or 249656 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 9942589920 is about 99712.5364234608. The cubic root of 9942589920 is about 2150.3038993534.

The spelling of 9942589920 in words is "nine billion, nine hundred forty-two million, five hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 249563 499126 748689 998252 1247815 1497378 1996504 2495630 2994756 3743445 3993008 4991260 5989512 7486890 7986016 9982520 11979024 14973780 19965040 20713729 23958048 29947560 39930080 41427458 59895120 62141187 82854916 103568645 119790240 124282374 165709832 207137290 248564748 310705935 331419664 414274580 497129496 621411870 662839328 828549160 994258992 1242823740 1657098320 1988517984 2485647480 3314196640 4971294960 9942589920