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20152744400 = 245250381861
BaseRepresentation
bin10010110001001100…
…100111100111010000
31221000110221111011202
4102301030213213100
5312233100310100
613131423130332
71312255333565
oct226114474720
957013844152
1020152744400
118601776168
123aa51439a8
131b92227a39
14d926c686c
157ce38d7d5
hex4b13279d0

20152744400 has 30 divisors (see below), whose sum is σ = 48416969382. Its totient is φ = 8061097600.

The previous prime is 20152744357. The next prime is 20152744457. The reversal of 20152744400 is 444725102.

It can be written as a sum of positive squares in 3 ways, for example, as 2443522624 + 17709221776 = 49432^2 + 133076^2 .

It is a super-2 number, since 2×201527444002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25190531 + ... + 25191330.

Almost surely, 220152744400 is an apocalyptic number.

20152744400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20152744400 is an abundant number, since it is smaller than the sum of its proper divisors (28264224982).

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

20152744400 is a wasteful number, since it uses less digits than its factorization.

20152744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50381879 (or 50381868 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The spelling of 20152744400 in words is "twenty billion, one hundred fifty-two million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50381861 100763722 201527444 251909305 403054888 503818610 806109776 1007637220 1259546525 2015274440 2519093050 4030548880 5038186100 10076372200 20152744400