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23640131920180 = 22511437103349357
BaseRepresentation
bin1010110000000001001011…
…01010100110000100110100
310002200222022102212121120011
411120000211222212010310
511044304442232421210
6122140043210150004
74656641335563526
oct530004552460464
9102628272777504
1023640131920180
1175947a6198996
122799748422304
131026340c62169
145ba28d305a16
152aee027dbd8a
hex158025aa6134

23640131920180 has 24 divisors (see below), whose sum is σ = 49648618185768. Its totient is φ = 9455225881728.

The previous prime is 23640131920169. The next prime is 23640131920211. The reversal of 23640131920180 is 8102913104632.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5336349482916 + 18303782437264 = 2310054^2 + 4278292^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51445939 + ... + 51903418.

It is an arithmetic number, because the mean of its divisors is an integer number (2068692424407).

Almost surely, 223640131920180 is an apocalyptic number.

23640131920180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23640131920180 is an abundant number, since it is smaller than the sum of its proper divisors (26008486265588).

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

23640131920180 is a wasteful number, since it uses less digits than its factorization.

23640131920180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103360803 (or 103360801 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 23640131920180 in words is "twenty-three trillion, six hundred forty billion, one hundred thirty-one million, nine hundred twenty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 11437 22874 45748 57185 114370 228740 103349357 206698714 413397428 516746785 1033493570 2066987140 1182006596009 2364013192018 4728026384036 5910032980045 11820065960090 23640131920180