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21504112020 = 22325259346073
BaseRepresentation
bin10100000001101111…
…101011010110010100
32001111122210002001100
4110001233223112110
5323020023041040
613513455430100
71360614636066
oct240157532624
961448702040
1021504112020
119135568706
124201825330
1320491a9751
14107dd79736
1585cd28b30
hex501beb594

21504112020 has 72 divisors (see below), whose sum is σ = 65255711976. Its totient is φ = 5732093952.

The previous prime is 21504111989. The next prime is 21504112031. The reversal of 21504112020 is 2021140512.

21504112020 is a `hidden beast` number, since 2 + 1 + 50 + 411 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5258570256 + 16245541764 = 72516^2 + 127458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21504111984 and 21504112002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443704 + ... + 489776.

It is an arithmetic number, because the mean of its divisors is an integer number (906329333).

Almost surely, 221504112020 is an apocalyptic number.

21504112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21504112020 is an abundant number, since it is smaller than the sum of its proper divisors (43751599956).

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

21504112020 is a wasteful number, since it uses less digits than its factorization.

21504112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48681 (or 48676 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 21504112020 its reverse (2021140512), we get a palindrome (23525252532).

The spelling of 21504112020 in words is "twenty-one billion, five hundred four million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2593 5186 7779 10372 12965 15558 23337 25930 31116 38895 46073 46674 51860 77790 92146 93348 116685 138219 155580 184292 230365 233370 276438 414657 460730 466740 552876 691095 829314 921460 1382190 1658628 2073285 2764380 4146570 8293140 119467289 238934578 358401867 477869156 597336445 716803734 1075205601 1194672890 1433607468 1792009335 2150411202 2389345780 3584018670 4300822404 5376028005 7168037340 10752056010 21504112020