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23034438745960 = 235293197101151433
BaseRepresentation
bin1010011110011000111111…
…00010011111111101101000
310000120001220122022100020111
411033030133202133331220
511004344012304332320
6120553513003304104
74565116602546115
oct517143742377550
9100501818270214
1023034438745960
11738093a190334
12270028ab1b034
13cb11a4986815
14598c30cc190c
1529e2a2c42a5a
hex14f31f89ff68

23034438745960 has 512 divisors, whose sum is σ = 56973553459200. Its totient is φ = 8360755200000.

The previous prime is 23034438745949. The next prime is 23034438746021. The reversal of 23034438745960 is 6954783443032.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 23034438745895 and 23034438745904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53197317904 + ... + 53197318336.

It is an arithmetic number, because the mean of its divisors is an integer number (111276471600).

Almost surely, 223034438745960 is an apocalyptic number.

23034438745960 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 23034438745960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486776729600).

23034438745960 is an abundant number, since it is smaller than the sum of its proper divisors (33939114713240).

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

23034438745960 is a wasteful number, since it uses less digits than its factorization.

23034438745960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 23034438745960 in words is "twenty-three trillion, thirty-four billion, four hundred thirty-eight million, seven hundred forty-five thousand, nine hundred sixty".