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21475616004 = 22321942730707
BaseRepresentation
bin10100000000000010…
…111110010100000100
32001102200011022212100
4110000002332110010
5322440224203004
613511000552100
71360120503243
oct240002762404
961380138770
1021475616004
119120475187
1241b4182630
1320433101bb
14107a27c95a
1585a59a739
hex5000be504

21475616004 has 36 divisors (see below), whose sum is σ = 54290147184. Its totient is φ = 7157937072.

The previous prime is 21475616003. The next prime is 21475616009. The reversal of 21475616004 is 40061657412.

21475616004 is a `hidden beast` number, since 2 + 1 + 47 + 5 + 6 + 1 + 600 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×214756160043 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21475616004.

It is not an unprimeable number, because it can be changed into a prime (21475616003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684019 + ... + 714725.

It is an arithmetic number, because the mean of its divisors is an integer number (1508059644).

Almost surely, 221475616004 is an apocalyptic number.

It is an amenable number.

21475616004 is an abundant number, since it is smaller than the sum of its proper divisors (32814531180).

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

21475616004 is a wasteful number, since it uses less digits than its factorization.

21475616004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50144 (or 50139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21475616004 in words is "twenty-one billion, four hundred seventy-five million, six hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 19427 30707 38854 58281 61414 77708 92121 116562 122828 174843 184242 233124 276363 349686 368484 552726 699372 1105452 596544889 1193089778 1789634667 2386179556 3579269334 5368904001 7158538668 10737808002 21475616004