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12479080992 = 253723977699
BaseRepresentation
bin10111001111100111…
…11010101000100000
31012012200120222220220
423213303322220200
5201024121042432
65422142003040
7621146303220
oct134763725040
935180528826
1012479080992
115324130284
122503276480
13123b4a40c1
148654ca080
154d085572c
hex2e7cfaa20

12479080992 has 96 divisors (see below), whose sum is σ = 37594368000. Its totient is φ = 3550487808.

The previous prime is 12479080987. The next prime is 12479081009. The reversal of 12479080992 is 29908097421.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121759 + ... + 199457.

It is an arithmetic number, because the mean of its divisors is an integer number (391608000).

Almost surely, 212479080992 is an apocalyptic number.

12479080992 is a gapful number since it is divisible by the number (12) 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 12479080992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184000).

12479080992 is an abundant number, since it is smaller than the sum of its proper divisors (25115287008).

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

12479080992 is a wasteful number, since it uses less digits than its factorization.

12479080992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77958 (or 77950 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 12479080992 in words is "twelve billion, four hundred seventy-nine million, eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 20076 22944 26768 40152 53536 77699 80304 155398 160608 233097 310796 466194 543893 621592 932388 1087786 1243184 1631679 1864776 2175572 2486368 3263358 3729552 4351144 6526716 7459104 8702288 13053432 17404576 18570061 26106864 37140122 52213728 55710183 74280244 111420366 129990427 148560488 222840732 259980854 297120976 389971281 445681464 519961708 594241952 779942562 891362928 1039923416 1559885124 1782725856 2079846832 3119770248 4159693664 6239540496 12479080992