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20407479624 = 23327223112503
BaseRepresentation
bin10011000000011000…
…010110110101001000
31221200020021101012200
4103000120112311020
5313243303321444
613213003040200
71321500500100
oct230030266510
957606241180
1020407479624
118722543544
123b56510060
131c02c3783c
14db8476200
157e690a969
hex4c0616d48

20407479624 has 144 divisors (see below), whose sum is σ = 64347491520. Its totient is φ = 5825856960.

The previous prime is 20407479623. The next prime is 20407479641. The reversal of 20407479624 is 42697470402.

It is a self number, because there is not a number n which added to its sum of digits gives 20407479624.

It is not an unprimeable number, because it can be changed into a prime (20407479623) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8151957 + ... + 8154459.

It is an arithmetic number, because the mean of its divisors is an integer number (446857580).

Almost surely, 220407479624 is an apocalyptic number.

20407479624 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 20407479624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32173745760).

20407479624 is an abundant number, since it is smaller than the sum of its proper divisors (43940011896).

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

20407479624 is a wasteful number, since it uses less digits than its factorization.

20407479624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20407479624 in words is "twenty billion, four hundred seven million, four hundred seventy-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2311 2503 3528 4622 5006 6933 7509 9244 10012 13866 15018 16177 17521 18488 20024 20799 22527 27732 30036 32354 35042 41598 45054 48531 52563 55464 60072 64708 70084 83196 90108 97062 105126 113239 122647 129416 140168 145593 157689 166392 180216 194124 210252 226478 245294 291186 315378 339717 367941 388248 420504 452956 490588 582372 630756 679434 735882 905912 981176 1019151 1103823 1164744 1261512 1358868 1471764 2038302 2207646 2717736 2943528 4076604 4415292 5784433 8153208 8830584 11568866 17353299 23137732 34706598 40491031 46275464 52059897 69413196 80982062 104119794 121473093 138826392 161964124 208239588 242946186 283437217 323928248 364419279 416479176 485892372 566874434 728838558 850311651 971784744 1133748868 1457677116 1700623302 2267497736 2550934953 2915354232 3401246604 5101869906 6802493208 10203739812 20407479624