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290190265824 = 25314712054939
BaseRepresentation
bin1000011100100001011…
…00000000110111100000
31000202000212011220021010
410032100230000313200
514223302202001244
6341151144300520
726652120363264
oct4162054006740
91022025156233
10290190265824
11102083926878
12482a8171740
132149869ab84
141008c38a0a4
157836385eb9
hex4390b00de0

290190265824 has 48 divisors (see below), whose sum is σ = 762267663360. Its totient is φ = 96664283520.

The previous prime is 290190265823. The next prime is 290190265837. The reversal of 290190265824 is 428562091092.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290190265823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886254 + ... + 1168685.

It is an arithmetic number, because the mean of its divisors is an integer number (15880576320).

Almost surely, 2290190265824 is an apocalyptic number.

290190265824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290190265824 is an abundant number, since it is smaller than the sum of its proper divisors (472077397536).

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

290190265824 is a wasteful number, since it uses less digits than its factorization.

290190265824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056423 (or 2056415 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 290190265824 in words is "two hundred ninety billion, one hundred ninety million, two hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1471 2942 4413 5884 8826 11768 17652 23536 35304 47072 70608 141216 2054939 4109878 6164817 8219756 12329634 16439512 24659268 32879024 49318536 65758048 98637072 197274144 3022815269 6045630538 9068445807 12091261076 18136891614 24182522152 36273783228 48365044304 72547566456 96730088608 145095132912 290190265824