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21450203904 = 28363144263
BaseRepresentation
bin10011111110100010…
…000010001100000000
32001100220100021000110
4103332202002030000
5322412223011104
613504252151320
71356361503423
oct237642021400
961326307013
1021450203904
119108098748
1241a7768540
13203ac8355c
141076b459ba
1585822ae89
hex4fe882300

21450203904 has 72 divisors (see below), whose sum is σ = 57180589312. Its totient is φ = 7138575360.

The previous prime is 21450203867. The next prime is 21450203911. The reversal of 21450203904 is 40930205412.

It is a super-2 number, since 2×214502039042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462477 + ... + 506739.

Almost surely, 221450203904 is an apocalyptic number.

21450203904 is a gapful number since it is divisible by the number (24) 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 21450203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28590294656).

21450203904 is an abundant number, since it is smaller than the sum of its proper divisors (35730385408).

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

21450203904 is an equidigital number, since it uses as much as digits as its factorization.

21450203904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44913 (or 44899 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21450203904 in words is "twenty-one billion, four hundred fifty million, two hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 631 768 1262 1893 2524 3786 5048 7572 10096 15144 20192 30288 40384 44263 60576 80768 88526 121152 132789 161536 177052 242304 265578 354104 484608 531156 708208 1062312 1416416 2124624 2832832 4249248 5665664 8498496 11331328 16996992 27929953 33993984 55859906 83789859 111719812 167579718 223439624 335159436 446879248 670318872 893758496 1340637744 1787516992 2681275488 3575033984 5362550976 7150067968 10725101952 21450203904