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12530532040 = 23513217109037
BaseRepresentation
bin10111010101110000…
…01011111011001000
31012100021101222111021
423222320023323020
5201130304011130
65431220442224
7622342523245
oct135270137310
935307358437
1012530532040
115350182204
122518549374
131249049b00
1486c2805cc
154d511a37a
hex2eae0bec8

12530532040 has 96 divisors (see below), whose sum is σ = 32325405480. Its totient is φ = 4354461696.

The previous prime is 12530532037. The next prime is 12530532059. The reversal of 12530532040 is 4023503521.

It can be written as a sum of positive squares in 12 ways, for example, as 605455236 + 11925076804 = 24606^2 + 109202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12530531996 and 12530532014.

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, 60402 + ... + 169438.

Almost surely, 212530532040 is an apocalyptic number.

12530532040 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 12530532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162702740).

12530532040 is an abundant number, since it is smaller than the sum of its proper divisors (19794873440).

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

12530532040 is a wasteful number, since it uses less digits than its factorization.

12530532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109091 (or 109074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 12530532040 in words is "twelve billion, five hundred thirty million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 884 1105 1352 1690 1768 2210 2873 3380 4420 5746 6760 8840 11492 14365 22984 28730 57460 109037 114920 218074 436148 545185 872296 1090370 1417481 1853629 2180740 2834962 3707258 4361480 5669924 7087405 7414516 9268145 11339848 14174810 14829032 18427253 18536290 24097177 28349620 36854506 37072580 48194354 56699240 73709012 74145160 92136265 96388708 120485885 147418024 184272530 192777416 240971770 313263301 368545060 481943540 626526602 737090120 963887080 1253053204 1566316505 2506106408 3132633010 6265266020 12530532040