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23585900440 = 235589647511
BaseRepresentation
bin10101111101110101…
…000100011110011000
32020212202000212220011
4111331311010132120
5341300442303230
614500223411304
71463323563064
oct257565043630
966782025804
1023585900440
11a003698103
1246a2a53b34
1322bb58c20b
1411da644aa4
15930994e2a
hex57dd44798

23585900440 has 16 divisors (see below), whose sum is σ = 53068276080. Its totient is φ = 9434360160.

The previous prime is 23585900411. The next prime is 23585900447. The reversal of 23585900440 is 4400958532.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 589647511 = 23585900440 / (2 + 3 + 5 + 8 + 5 + 9 + 0 + 0 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 23585900393 and 23585900402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23585900447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294823716 + ... + 294823795.

It is an arithmetic number, because the mean of its divisors is an integer number (3316767255).

Almost surely, 223585900440 is an apocalyptic number.

23585900440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23585900440 is an abundant number, since it is smaller than the sum of its proper divisors (29482375640).

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

23585900440 is a wasteful number, since it uses less digits than its factorization.

23585900440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589647522 (or 589647518 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 23585900440 in words is "twenty-three billion, five hundred eighty-five million, nine hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 589647511 1179295022 2358590044 2948237555 4717180088 5896475110 11792950220 23585900440