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21504252504 = 2337259309931
BaseRepresentation
bin10100000001110000…
…001101101001011000
32001111200001012202110
4110001300031221120
5323020042040004
613513502432320
71360616062500
oct240160155130
961450035673
1021504252504
119135654209
1242018926a0
132049228687
14107ddb4a00
1585cd55589
hex501c0da58

21504252504 has 96 divisors (see below), whose sum is σ = 63598046400. Its totient is φ = 6039915840.

The previous prime is 21504252499. The next prime is 21504252559. The reversal of 21504252504 is 40525240512.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 85582 + ... + 224349.

It is an arithmetic number, because the mean of its divisors is an integer number (662479650).

Almost surely, 221504252504 is an apocalyptic number.

21504252504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21504252504 is an abundant number, since it is smaller than the sum of its proper divisors (42093793896).

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

21504252504 is a wasteful number, since it uses less digits than its factorization.

21504252504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310013 (or 310002 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

It can be divided in two parts, 215042 and 52504, that added together give a triangular number (267546 = T731).

The spelling of 21504252504 in words is "twenty-one billion, five hundred four million, two hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 354 392 413 472 588 708 826 1176 1239 1416 1652 2478 2891 3304 4956 5782 8673 9912 11564 17346 23128 34692 69384 309931 619862 929793 1239724 1859586 2169517 2479448 3719172 4339034 6508551 7438344 8678068 13017102 15186619 17356136 18285929 26034204 30373238 36571858 45559857 52068408 54857787 60746476 73143716 91119714 109715574 121492952 128001503 146287432 182239428 219431148 256003006 364478856 384004509 438862296 512006012 768009018 896010521 1024012024 1536018036 1792021042 2688031563 3072036072 3584042084 5376063126 7168084168 10752126252 21504252504