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12408086580 = 22351034094909
BaseRepresentation
bin10111000111001010…
…00110000000110100
31012000202000002220020
423203211012000310
5200402432232310
65411124205140
7616324665351
oct134345060064
935022002806
1012408086580
11529805010a
1224a35397b0
131229877a86
14859cc9628
154c94d0170
hex2e3946034

12408086580 has 96 divisors (see below), whose sum is σ = 35172883200. Its totient is φ = 3268021248.

The previous prime is 12408086557. The next prime is 12408086617. The reversal of 12408086580 is 8568080421.

It is a super-2 number, since 2×124080865802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 2525166 + ... + 2530074.

It is an arithmetic number, because the mean of its divisors is an integer number (366384200).

Almost surely, 212408086580 is an apocalyptic number.

12408086580 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 12408086580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586441600).

12408086580 is an abundant number, since it is smaller than the sum of its proper divisors (22764796620).

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

12408086580 is a wasteful number, since it uses less digits than its factorization.

12408086580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 12408086580 in words is "twelve billion, four hundred eight million, eighty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 409 412 515 618 818 1030 1227 1236 1545 1636 2045 2060 2454 3090 4090 4908 4909 6135 6180 8180 9818 12270 14727 19636 24540 24545 29454 42127 49090 58908 73635 84254 98180 126381 147270 168508 210635 252762 294540 421270 505524 505627 631905 842540 1011254 1263810 1516881 2007781 2022508 2527620 2528135 3033762 4015562 5056270 6023343 6067524 7584405 8031124 10038905 10112540 12046686 15168810 20077810 24093372 30116715 30337620 40155620 60233430 120466860 206801443 413602886 620404329 827205772 1034007215 1240808658 2068014430 2481617316 3102021645 4136028860 6204043290 12408086580