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21038657433960 = 2335374738436359
BaseRepresentation
bin1001100100010011100011…
…01100111111000101101000
32202111021110012200001021010
410302021301230333011220
510224144132300341320
6112425005323343520
74300664354365005
oct462116154770550
982437405601233
1021038657433960
116781498710261
122439523981ba0
13b97c2444234a
1452a3c28308ac
152673e52d6ae0
hex132271b3f168

21038657433960 has 64 divisors (see below), whose sum is σ = 64821809404800. Its totient is φ = 5458678684416.

The previous prime is 21038657433929. The next prime is 21038657433961. The reversal of 21038657433960 is 6933475683012.

21038657433960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210386574339602 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21038657433960.

It is not an unprimeable number, because it can be changed into a prime (21038657433961) 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, 2369213740 + ... + 2369222619.

It is an arithmetic number, because the mean of its divisors is an integer number (1012840771950).

It is a 1-persistent number, because it is pandigital, but 2⋅21038657433960 = 42077314867920 is not.

Almost surely, 221038657433960 is an apocalyptic number.

21038657433960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21038657433960 is an abundant number, since it is smaller than the sum of its proper divisors (43783151970840).

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

21038657433960 is a wasteful number, since it uses less digits than its factorization.

21038657433960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738436410 (or 4738436406 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 21038657433960 in words is "twenty-one trillion, thirty-eight billion, six hundred fifty-seven million, four hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 4738436359 9476872718 14215309077 18953745436 23692181795 28430618154 37907490872 47384363590 56861236308 71076545385 94768727180 113722472616 142153090770 175322145283 189537454360 284306181540 350644290566 525966435849 568612363080 701288581132 876610726415 1051932871698 1402577162264 1753221452830 2103865743396 2629832179245 3506442905660 4207731486792 5259664358490 7012885811320 10519328716980 21038657433960