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12712149580 = 2251331931499
BaseRepresentation
bin10111101011011010…
…00000001001001100
31012210221011002220211
423311231000021030
5202013302241310
65501225252204
7630006326404
oct136555001114
935727132824
1012712149580
11543374a149
122569334064
131277869000
14888439804
154e6042c8a
hex2f5b4024c

12712149580 has 96 divisors (see below), whose sum is σ = 29088360000. Its totient is φ = 4666281984.

The previous prime is 12712149577. The next prime is 12712149629. The reversal of 12712149580 is 8594121721.

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, 8479671 + ... + 8481169.

It is an arithmetic number, because the mean of its divisors is an integer number (303003750).

Almost surely, 212712149580 is an apocalyptic number.

12712149580 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 12712149580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544180000).

12712149580 is an abundant number, since it is smaller than the sum of its proper divisors (16376210420).

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

12712149580 is a wasteful number, since it uses less digits than its factorization.

12712149580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 12712149580 in words is "twelve billion, seven hundred twelve million, one hundred forty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 193 260 338 386 676 772 845 965 1499 1690 1930 2197 2509 2998 3380 3860 4394 5018 5996 7495 8788 10036 10985 12545 14990 19487 21970 25090 29980 32617 38974 43940 50180 65234 77948 97435 130468 163085 194870 253331 289307 326170 389740 424021 506662 578614 652340 848042 1013324 1157228 1266655 1446535 1696084 2120105 2533310 2893070 3293303 3760991 4240210 5066620 5786140 6586606 7521982 8480420 13173212 15043964 16466515 18804955 32933030 37609910 48892883 65866060 75219820 97785766 195571532 244464415 488928830 635607479 977857660 1271214958 2542429916 3178037395 6356074790 12712149580