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21105636024 = 23311215148131
BaseRepresentation
bin10011101001111111…
…100111001010111000
32000110212222101202010
4103221333213022320
5321211020323044
613410143005520
71345005642354
oct235177471270
960425871663
1021105636024
118a50643800
1241102998a0
131cb477ca35
141043090464
15837d66bb9
hex4e9fe72b8

21105636024 has 96 divisors (see below), whose sum is σ = 58382190720. Its totient is φ = 6353160000.

The previous prime is 21105635963. The next prime is 21105636043. The reversal of 21105636024 is 42063650112.

It is a junction number, because it is equal to n+sod(n) for n = 21105635982 and 21105636000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414439 + ... + 462569.

It is an arithmetic number, because the mean of its divisors is an integer number (608147820).

Almost surely, 221105636024 is an apocalyptic number.

21105636024 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 21105636024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191095360).

21105636024 is an abundant number, since it is smaller than the sum of its proper divisors (37276554696).

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

21105636024 is a wasteful number, since it uses less digits than its factorization.

21105636024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48313 (or 48298 counting only the distinct ones).

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

The spelling of 21105636024 in words is "twenty-one billion, one hundred five million, six hundred thirty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 151 242 264 302 363 453 484 604 726 906 968 1208 1452 1661 1812 2904 3322 3624 4983 6644 9966 13288 18271 19932 36542 39864 48131 54813 73084 96262 109626 144393 146168 192524 219252 288786 385048 438504 529441 577572 1058882 1155144 1588323 2117764 3176646 4235528 5823851 6353292 7267781 11647702 12706584 14535562 17471553 21803343 23295404 29071124 34943106 43606686 46590808 58142248 69886212 79945591 87213372 139772424 159891182 174426744 239836773 319782364 479673546 639564728 879401501 959347092 1758803002 1918694184 2638204503 3517606004 5276409006 7035212008 10552818012 21105636024