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24830001372 = 223111743125673
BaseRepresentation
bin10111000111111110…
…111100000011011100
32101002110000202112110
4113013332330003130
5401322440020442
615223505034020
71536211346361
oct270776740334
971073022473
1024830001372
11a5919855a0
12498b625910
132459254a07
1412b7974468
159a4ce269c
hex5c7fbc0dc

24830001372 has 96 divisors (see below), whose sum is σ = 67079384064. Its totient is φ = 7064934400.

The previous prime is 24830001367. The next prime is 24830001373. The reversal of 24830001372 is 27310003842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24830001373) 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, 954328 + ... + 980000.

It is an arithmetic number, because the mean of its divisors is an integer number (698743584).

Almost surely, 224830001372 is an apocalyptic number.

24830001372 is a gapful number since it is divisible by the number (22) 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 24830001372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33539692032).

24830001372 is an abundant number, since it is smaller than the sum of its proper divisors (42249382692).

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

24830001372 is a wasteful number, since it uses less digits than its factorization.

24830001372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26139 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 24830001372 in words is "twenty-four billion, eight hundred thirty million, one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 431 561 748 862 1122 1293 1724 2244 2586 4741 5172 7327 9482 14223 14654 18964 21981 25673 28446 29308 43962 51346 56892 77019 80597 87924 102692 154038 161194 241791 282403 308076 322388 436441 483582 564806 847209 872882 967164 1129612 1309323 1694418 1745764 2618646 3388836 4800851 5237292 9601702 11065063 14402553 19203404 22130126 28805106 33195189 44260252 57610212 66390378 121715693 132780756 188106071 243431386 365147079 376212142 486862772 564318213 730294158 752424284 1128636426 1460588316 2069166781 2257272852 4138333562 6207500343 8276667124 12415000686 24830001372