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12534141540 = 22351946323747
BaseRepresentation
bin10111010110001011…
…11101001001100100
31012100112012100210110
423223011331021210
5201132220012130
65431430053020
7622415305464
oct135305751144
935315170713
1012534141540
115352218068
1225197aa170
131249a119cb
1486c93dba4
154d55ceab0
hex2eb17d264

12534141540 has 96 divisors (see below), whose sum is σ = 37024081920. Its totient is φ = 3159547776.

The previous prime is 12534141527. The next prime is 12534141551. The reversal of 12534141540 is 4514143521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12534141498 and 12534141507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515947 + ... + 539693.

It is an arithmetic number, because the mean of its divisors is an integer number (385667520).

Almost surely, 212534141540 is an apocalyptic number.

12534141540 is a gapful number since it is divisible by the number (10) 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 12534141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512040960).

12534141540 is an abundant number, since it is smaller than the sum of its proper divisors (24489940380).

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

12534141540 is a wasteful number, since it uses less digits than its factorization.

12534141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24241 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 12534141540 in words is "twelve billion, five hundred thirty-four million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 463 570 926 1140 1389 1852 2315 2778 4630 5556 6945 8797 9260 13890 17594 23747 26391 27780 35188 43985 47494 52782 71241 87970 94988 105564 118735 131955 142482 175940 237470 263910 284964 356205 451193 474940 527820 712410 902386 1353579 1424820 1804772 2255965 2707158 4511930 5414316 6767895 9023860 10994861 13535790 21989722 27071580 32984583 43979444 54974305 65969166 109948610 131938332 164922915 208902359 219897220 329845830 417804718 626707077 659691660 835609436 1044511795 1253414154 2089023590 2506828308 3133535385 4178047180 6267070770 12534141540