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10243555344 = 24321125725163
BaseRepresentation
bin10011000101001000…
…00100000000010000
3222102220001112020200
421202210010000100
5131434322232334
64412242535200
7511562532561
oct114244040020
928386045220
1010243555344
114387246820
121b9a667500
13c732b4669
146d2642168
153ee46c799
hex262904010

10243555344 has 120 divisors (see below), whose sum is σ = 31396820832. Its totient is φ = 3091906560.

The previous prime is 10243555319. The next prime is 10243555351. The reversal of 10243555344 is 44355534201.

10243555344 is a `hidden beast` number, since 10 + 24 + 35 + 553 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10243555299 and 10243555308.

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, 394507 + ... + 419669.

Almost surely, 210243555344 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 10243555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698410416).

10243555344 is an abundant number, since it is smaller than the sum of its proper divisors (21153265488).

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

10243555344 is a wasteful number, since it uses less digits than its factorization.

10243555344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25445 (or 25436 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 10243555344 in words is "ten billion, two hundred forty-three million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 257 264 396 514 528 771 792 1028 1542 1584 2056 2313 2827 3084 4112 4626 5654 6168 8481 9252 11308 12336 16962 18504 22616 25163 25443 33924 37008 45232 50326 50886 67848 75489 100652 101772 135696 150978 201304 203544 226467 276793 301956 402608 407088 452934 553586 603912 830379 905868 1107172 1207824 1660758 1811736 2214344 2491137 3321516 3623472 4428688 4982274 6466891 6643032 9964548 12933782 13286064 19400673 19929096 25867564 38801346 39858192 51735128 58202019 71135801 77602692 103470256 116404038 142271602 155205384 213407403 232808076 284543204 310410768 426814806 465616152 569086408 640222209 853629612 931232304 1138172816 1280444418 1707259224 2560888836 3414518448 5121777672 10243555344