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23475735777040 = 245293446697213
BaseRepresentation
bin1010101011001110111101…
…11001000100111100010000
310002010020222101112020212221
411111213132321010330100
511034111301324331130
6121532334254230424
74642031421454501
oct525473671047420
9102106871466787
1023475735777040
117531004920388
1227719084b5414
1310139a1cb2c11
145b23359dcba8
152aa9cee2887a
hex1559dee44f10

23475735777040 has 20 divisors (see below), whose sum is σ = 54581085681804. Its totient is φ = 9390294310784.

The previous prime is 23475735777007. The next prime is 23475735777049. The reversal of 23475735777040 is 4077753757432.

It can be written as a sum of positive squares in 2 ways, for example, as 2461836312576 + 21013899464464 = 1569024^2 + 4584092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×234757357770402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23475735777040.

It is not an unprimeable number, because it can be changed into a prime (23475735777049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146723348527 + ... + 146723348686.

Almost surely, 223475735777040 is an apocalyptic number.

23475735777040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23475735777040 is an abundant number, since it is smaller than the sum of its proper divisors (31105349904764).

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

23475735777040 is a wasteful number, since it uses less digits than its factorization.

23475735777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293446697226 (or 293446697220 counting only the distinct ones).

The product of its (nonzero) digits is 121010400, while the sum is 61.

The spelling of 23475735777040 in words is "twenty-three trillion, four hundred seventy-five billion, seven hundred thirty-five million, seven hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293446697213 586893394426 1173786788852 1467233486065 2347573577704 2934466972130 4695147155408 5868933944260 11737867888520 23475735777040