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24623428840 = 2354325772
BaseRepresentation
bin10110111011101010…
…111011010011101000
32100120001022210021221
4112323222323103220
5400412044210330
615151205311424
71531122456163
oct267352732350
970501283257
1024623428840
11a49631359a
124932405574
132425508c4a
141298360ada
15991adab7a
hex5bbabb4e8

24623428840 has 72 divisors (see below), whose sum is σ = 56819587590. Its totient is φ = 9603643392.

The previous prime is 24623428807. The next prime is 24623428859. The reversal of 24623428840 is 4882432642.

It can be written as a sum of positive squares in 3 ways, for example, as 23249540484 + 1373888356 = 152478^2 + 37066^2 .

It is a super-3 number, since 3×246234288403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42674632 + ... + 42675208.

Almost surely, 224623428840 is an apocalyptic number.

24623428840 is a gapful number since it is divisible by the number (20) 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 24623428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409793795).

24623428840 is an abundant number, since it is smaller than the sum of its proper divisors (32196158750).

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

24623428840 is an frugal number, since it uses more digits than its factorization.

24623428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 43.

The spelling of 24623428840 in words is "twenty-four billion, six hundred twenty-three million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 577 860 1154 1720 1849 2308 2885 3698 4616 5770 7396 9245 11540 14792 18490 23080 24811 36980 49622 73960 99244 124055 198488 248110 332929 496220 665858 992440 1066873 1331716 1664645 2133746 2663432 3329290 4267492 5334365 6658580 8534984 10668730 13317160 14315947 21337460 28631894 42674920 57263788 71579735 114527576 143159470 286318940 572637880 615585721 1231171442 2462342884 3077928605 4924685768 6155857210 12311714420 24623428840