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23019557300640 = 253651746724859
BaseRepresentation
bin1010011101111101010001…
…00010010010100110100000
310000111122111112020121000000
411032332220202102212200
511004123023132110030
6120543012202300000
74564052042421135
oct516765042224640
9100448445217000
1023019557300640
1173755a2a8319a
1226b94171b7600
13cac972879884
1459821c71c58c
1529dbd154a860
hex14efa88929a0

23019557300640 has 672 divisors, whose sum is σ = 86522975098560. Its totient is φ = 5764854177792.

The previous prime is 23019557300603. The next prime is 23019557300659. The reversal of 23019557300640 is 4600375591032.

23019557300640 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 9 + 557 + 30 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 925992531 + ... + 926017389.

It is an arithmetic number, because the mean of its divisors is an integer number (128754427230).

Almost surely, 223019557300640 is an apocalyptic number.

23019557300640 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 23019557300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43261487549280).

23019557300640 is an abundant number, since it is smaller than the sum of its proper divisors (63503417797920).

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

23019557300640 is a wasteful number, since it uses less digits than its factorization.

23019557300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25376 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 23019557300640 in words is "twenty-three trillion, nineteen billion, five hundred fifty-seven million, three hundred thousand, six hundred forty".