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23020466595840 = 21133572931101131
BaseRepresentation
bin1010011101111110111101…
…01110111110100000000000
310000111201211220020120112000
411032333132232332200000
511004131403422031330
6120543242323504000
74564113423332430
oct516773656764000
9100451756216460
1023020466595840
117375a1a28412a
1226b962b828000
13caca8907907c
145982a73b82c0
1529dc362b1560
hex14efdebbe800

23020466595840 has 3072 divisors, whose sum is σ = 101624979456000. Its totient is φ = 4830658560000.

The previous prime is 23020466595829. The next prime is 23020466595859. The reversal of 23020466595840 is 4859566402032.

23020466595840 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 0 + 4 + 6 + 6 + 59 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175728752575 + ... + 175728752705.

It is an arithmetic number, because the mean of its divisors is an integer number (33081048000).

Almost surely, 223020466595840 is an apocalyptic number.

23020466595840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23020466595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50812489728000).

23020466595840 is an abundant number, since it is smaller than the sum of its proper divisors (78604512860160).

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

23020466595840 is a wasteful number, since it uses less digits than its factorization.

23020466595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 23020466595840 in words is "twenty-three trillion, twenty billion, four hundred sixty-six million, five hundred ninety-five thousand, eight hundred forty".