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21527396352 = 2173371179
BaseRepresentation
bin10100000011001000…
…100000000000000000
32001120021121001011000
4110003020200000000
5323042003140402
613520050452000
71361316564330
oct240310400000
961507531130
1021527396352
119147721560
124209594000
132050c6ca67
1410830bb0c0
1585edc7c1c
hex503220000

21527396352 has 576 divisors, whose sum is σ = 80530329600. Its totient is φ = 5520752640.

The previous prime is 21527396339. The next prime is 21527396383. The reversal of 21527396352 is 25369372512.

21527396352 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 7 + 3 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×215273963522 (a number of 21 digits) contains 22 as substring.

Its product of digits (680400) is a multiple of the sum of its prime factors (140).

It is a junction number, because it is equal to n+sod(n) for n = 21527396298 and 21527396307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272498649 + ... + 272498727.

It is an arithmetic number, because the mean of its divisors is an integer number (139809600).

Almost surely, 221527396352 is an apocalyptic number.

21527396352 is a gapful number since it is divisible by the number (22) 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 21527396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40265164800).

21527396352 is an abundant number, since it is smaller than the sum of its proper divisors (59002933248).

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

21527396352 is an frugal number, since it uses more digits than its factorization.

21527396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 21527396352 in words is "twenty-one billion, five hundred twenty-seven million, three hundred ninety-six thousand, three hundred fifty-two".