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21301417632 = 2531120171797
BaseRepresentation
bin10011110101101010…
…011101011010100000
32000222112101010121210
4103311222131122200
5322111130331012
613441415150120
71352604030255
oct236552353240
960875333553
1021301417632
119041105390
124165975340
1320161bac41
14106109542c
1584a13b23c
hex4f5a9d6a0

21301417632 has 48 divisors (see below), whose sum is σ = 60999517152. Its totient is φ = 6454974720.

The previous prime is 21301417609. The next prime is 21301417637. The reversal of 21301417632 is 23671410312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21301417632.

It is not an unprimeable number, because it can be changed into a prime (21301417637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10084843 + ... + 10086954.

It is an arithmetic number, because the mean of its divisors is an integer number (1270823274).

Almost surely, 221301417632 is an apocalyptic number.

21301417632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21301417632 is an abundant number, since it is smaller than the sum of its proper divisors (39698099520).

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

21301417632 is a wasteful number, since it uses less digits than its factorization.

21301417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20171821 (or 20171813 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 21301417632 its reverse (23671410312), we get a palindrome (44972827944).

The spelling of 21301417632 in words is "twenty-one billion, three hundred one million, four hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20171797 40343594 60515391 80687188 121030782 161374376 221889767 242061564 322748752 443779534 484123128 645497504 665669301 887559068 968246256 1331338602 1775118136 1936492512 2662677204 3550236272 5325354408 7100472544 10650708816 21301417632