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23288873440 = 255720793637
BaseRepresentation
bin10101101100001000…
…000000000111100000
32020010001010100110011
4111230020000013200
5340143422422230
614410533214304
71453056105130
oct255410000740
966101110404
1023288873440
119970a64348
12461b491394
132271b926b1
1411ad006ac0
15914871e2a
hex56c2001e0

23288873440 has 48 divisors (see below), whose sum is σ = 62879961312. Its totient is φ = 7984756224.

The previous prime is 23288873417. The next prime is 23288873441. The reversal of 23288873440 is 4437888232.

It is a super-2 number, since 2×232888734402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23288873441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10395699 + ... + 10397938.

It is an arithmetic number, because the mean of its divisors is an integer number (1309999194).

Almost surely, 223288873440 is an apocalyptic number.

23288873440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23288873440 is an abundant number, since it is smaller than the sum of its proper divisors (39591087872).

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

23288873440 is a wasteful number, since it uses less digits than its factorization.

23288873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20793659 (or 20793651 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

The spelling of 23288873440 in words is "twenty-three billion, two hundred eighty-eight million, eight hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 20793637 41587274 83174548 103968185 145555459 166349096 207936370 291110918 332698192 415872740 582221836 665396384 727777295 831745480 1164443672 1455554590 1663490960 2328887344 2911109180 3326981920 4657774688 5822218360 11644436720 23288873440