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24114545112 = 23373140911321
BaseRepresentation
bin10110011101010101…
…101100000111011000
32022020120202211001110
4112131111230013120
5343341310420422
615024510220320
71512403152150
oct263525540730
968216684043
1024114545112
11a255039729
12480bab46a0
132373c63408
14124a935760
159620ba60c
hex59d56c1d8

24114545112 has 128 divisors (see below), whose sum is σ = 71301427200. Its totient is φ = 6650726400.

The previous prime is 24114545093. The next prime is 24114545113. The reversal of 24114545112 is 21154541142.

It is a super-2 number, since 2×241145451122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24114545112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24114545113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124412 + ... + 2135732.

It is an arithmetic number, because the mean of its divisors is an integer number (557042400).

Almost surely, 224114545112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24114545112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35650713600).

24114545112 is an abundant number, since it is smaller than the sum of its proper divisors (47186882088).

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

24114545112 is a wasteful number, since it uses less digits than its factorization.

24114545112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11773 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 24114545112 in words is "twenty-four billion, one hundred fourteen million, five hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 409 434 651 744 818 868 1227 1302 1636 1736 2454 2604 2863 3272 4908 5208 5726 8589 9816 11321 11452 12679 17178 22642 22904 25358 33963 34356 38037 45284 50716 67926 68712 76074 79247 88753 90568 101432 135852 152148 158494 177506 237741 266259 271704 304296 316988 350951 355012 475482 532518 633976 701902 710024 950964 1052853 1065036 1403804 1901928 2105706 2130072 2456657 2807608 4211412 4630289 4913314 7369971 8422824 9260578 9826628 13890867 14739942 18521156 19653256 27781734 29479884 32412023 37042312 55563468 58959768 64824046 97236069 111126936 129648092 143538959 194472138 259296184 287077918 388944276 430616877 574155836 777888552 861233754 1004772713 1148311672 1722467508 2009545426 3014318139 3444935016 4019090852 6028636278 8038181704 12057272556 24114545112