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21398123904 = 273471185623
BaseRepresentation
bin10011111011011011…
…010111010110000000
32001020021100022200120
4103323123113112000
5322310404431104
613455152020240
71355160023613
oct237333272600
961207308616
1021398123904
119090757223
124192231680
13203024a4a1
14106dc6a17a
1585388ecd9
hex4fb6d7580

21398123904 has 64 divisors (see below), whose sum is σ = 58048151040. Its totient is φ = 6980942336.

The previous prime is 21398123897. The next prime is 21398123909. The reversal of 21398123904 is 40932189312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×213981239042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21398123909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574764 + ... + 610859.

It is an arithmetic number, because the mean of its divisors is an integer number (907002360).

Almost surely, 221398123904 is an apocalyptic number.

21398123904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21398123904 is an abundant number, since it is smaller than the sum of its proper divisors (36650027136).

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

21398123904 is a wasteful number, since it uses less digits than its factorization.

21398123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185687 (or 1185675 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 21398123904 in words is "twenty-one billion, three hundred ninety-eight million, one hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 1185623 2371246 3556869 4742492 7113738 9484984 14227476 18969968 28454952 37939936 55724281 56909904 75879872 111448562 113819808 151759744 167172843 222897124 227639616 334345686 445794248 455279232 668691372 891588496 1337382744 1783176992 2674765488 3566353984 5349530976 7132707968 10699061952 21398123904