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42588000918 = 23243457120401
BaseRepresentation
bin100111101010011100…
…010101001010010110
311001221000211121100100
4213222130111022112
51144210012012133
631321544354530
73035241014661
oct475234251226
9131830747310
1042588000918
11170748a8481
128306775a46
1340292b3a58
1420c01a86d8
151193ce6e13
hex9ea715296

42588000918 has 48 divisors (see below), whose sum is σ = 94627303056. Its totient is φ = 13835404800.

The previous prime is 42588000907. The next prime is 42588000919. The reversal of 42588000918 is 81900088524.

It is a happy number.

42588000918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42588000919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293518 + ... + 413918.

It is an arithmetic number, because the mean of its divisors is an integer number (1971402147).

Almost surely, 242588000918 is an apocalyptic number.

42588000918 is an abundant number, since it is smaller than the sum of its proper divisors (52039302138).

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

42588000918 is a wasteful number, since it uses less digits than its factorization.

42588000918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120909 (or 120906 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 42588000918 in words is "forty-two billion, five hundred eighty-eight million, nine hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 43 86 129 258 387 457 774 914 1371 2742 4113 8226 19651 39302 58953 117906 120401 176859 240802 353718 361203 722406 1083609 2167218 5177243 10354486 15531729 31063458 46595187 55023257 93190374 110046514 165069771 330139542 495209313 990418626 2366000051 4732000102 7098000153 14196000306 21294000459 42588000918