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12505353540 = 2235713119439
BaseRepresentation
bin10111010010110000…
…01000110101000100
31012021112000210002020
423221120020311010
5201102332303130
65424521043140
7621615515451
oct135130106504
935245023066
1012505353540
115337a45229
1225100264b0
131243a725a4
14868ba8828
154d2ce4e10
hex2e9608d44

12505353540 has 96 divisors (see below), whose sum is σ = 35626106880. Its totient is φ = 3276873600.

The previous prime is 12505353533. The next prime is 12505353547. The reversal of 12505353540 is 4535350521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12505353533) and next prime (12505353547).

It is not an unprimeable number, because it can be changed into a prime (12505353547) 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, 1320141 + ... + 1329579.

It is an arithmetic number, because the mean of its divisors is an integer number (371105280).

Almost surely, 212505353540 is an apocalyptic number.

12505353540 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 12505353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813053440).

12505353540 is an abundant number, since it is smaller than the sum of its proper divisors (23120753340).

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

12505353540 is a wasteful number, since it uses less digits than its factorization.

12505353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 12505353540 in words is "twelve billion, five hundred five million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 311 355 426 622 710 852 933 1065 1244 1420 1555 1866 2130 3110 3732 4260 4665 6220 9330 9439 18660 18878 22081 28317 37756 44162 47195 56634 66243 88324 94390 110405 113268 132486 141585 188780 220810 264972 283170 331215 441620 566340 662430 670169 1324860 1340338 2010507 2680676 2935529 3350845 4021014 5871058 6701690 8042028 8806587 10052535 11742116 13403380 14677645 17613174 20105070 29355290 35226348 40210140 44032935 58710580 88065870 176131740 208422559 416845118 625267677 833690236 1042112795 1250535354 2084225590 2501070708 3126338385 4168451180 6252676770 12505353540