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21533420740 = 22513577143537
BaseRepresentation
bin10100000011011111…
…011110110011000100
32001120200221010001111
4110003133132303010
5323100023430430
613520423534404
71361422025206
oct240337366304
961520833044
1021533420740
119150066797
12420b5ba404
13205229bba0
141083c08776
158606b7c2a
hex5037decc4

21533420740 has 48 divisors (see below), whose sum is σ = 48783398832. Its totient is φ = 7936966656.

The previous prime is 21533420731. The next prime is 21533420749. The reversal of 21533420740 is 4702433512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21533420731) and next prime (21533420749).

It can be written as a sum of positive squares in 8 ways, for example, as 244859904 + 21288560836 = 15648^2 + 145906^2 .

It is not an unprimeable number, because it can be changed into a prime (21533420749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78252 + ... + 221788.

It is an arithmetic number, because the mean of its divisors is an integer number (1016320809).

Almost surely, 221533420740 is an apocalyptic number.

21533420740 is a gapful number since it is divisible by the number (20) 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 21533420740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391699416).

21533420740 is an abundant number, since it is smaller than the sum of its proper divisors (27249978092).

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

21533420740 is a wasteful number, since it uses less digits than its factorization.

21533420740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144136 (or 144134 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 21533420740 in words is "twenty-one billion, five hundred thirty-three million, four hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 577 1154 2308 2885 5770 7501 11540 15002 30004 37505 75010 143537 150020 287074 574148 717685 1435370 1865981 2870740 3731962 7463924 9329905 18659810 37319620 82820849 165641698 331283396 414104245 828208490 1076671037 1656416980 2153342074 4306684148 5383355185 10766710370 21533420740