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23121744984 = 23321328978527
BaseRepresentation
bin10101100010001010…
…011101010001011000
32012200101122100022100
4111202022131101120
5334323131314414
614342203123400
71445656406142
oct254212352130
965611570270
1023121744984
119895693258
124593513560
132246377410
141194b3dc92
15904d5c609
hex56229d458

23121744984 has 96 divisors (see below), whose sum is σ = 67469613120. Its totient is φ = 7111093248.

The previous prime is 23121744949. The next prime is 23121745013. The reversal of 23121744984 is 48944712132.

23121744984 is a `hidden beast` number, since 2 + 3 + 121 + 7 + 449 + 84 = 666.

It is a super-2 number, since 2×231217449842 (a number of 22 digits) contains 22 as substring.

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, 2707329 + ... + 2715855.

It is an arithmetic number, because the mean of its divisors is an integer number (702808470).

Almost surely, 223121744984 is an apocalyptic number.

23121744984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23121744984 is an abundant number, since it is smaller than the sum of its proper divisors (44347868136).

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

23121744984 is a wasteful number, since it uses less digits than its factorization.

23121744984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11449 (or 11442 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 23121744984 in words is "twenty-three billion, one hundred twenty-one million, seven hundred forty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2897 5794 8527 8691 11588 17054 17382 23176 25581 26073 34108 34764 37661 51162 52146 68216 69528 75322 76743 102324 104292 110851 112983 150644 153486 204648 208584 221702 225966 301288 306972 332553 338949 443404 451932 613944 665106 677898 886808 903864 997659 1330212 1355796 1995318 2660424 2711592 3990636 7981272 24702719 49405438 74108157 98810876 148216314 197621752 222324471 296432628 321135347 444648942 592865256 642270694 889297884 963406041 1284541388 1778595768 1926812082 2569082776 2890218123 3853624164 5780436246 7707248328 11560872492 23121744984