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12493334880 = 2532513667379
BaseRepresentation
bin10111010001010100…
…10010100101100000
31012020200102011120200
423220222102211200
5201041243204010
65423411305200
7621411410565
oct135052224540
935220364520
1012493334880
115331186454
122507bab200
131241424c60
1486735a86c
154d1c1dcc0
hex2e8a92960

12493334880 has 144 divisors (see below), whose sum is σ = 45913074480. Its totient is φ = 3075277824.

The previous prime is 12493334869. The next prime is 12493334891. The reversal of 12493334880 is 8843339421.

12493334880 is a `hidden beast` number, since 12 + 493 + 33 + 48 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12493334869) and next prime (12493334891).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×124933348802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 314970 + ... + 352409.

It is an arithmetic number, because the mean of its divisors is an integer number (318840795).

Almost surely, 212493334880 is an apocalyptic number.

12493334880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12493334880 is an abundant number, since it is smaller than the sum of its proper divisors (33419739600).

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

12493334880 is a wasteful number, since it uses less digits than its factorization.

12493334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667413 (or 667402 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12493334880 in words is "twelve billion, four hundred ninety-three million, three hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 667379 1334758 2002137 2669516 3336895 4004274 5339032 6006411 6673790 8008548 8675927 10010685 10678064 12012822 13347580 16017096 17351854 20021370 21356128 24025644 26027781 26695160 30032055 32034192 34703708 40042740 43379635 48051288 52055562 53390320 60064110 64068384 69407416 78083343 80085480 86759270 96102576 104111124 106780640 120128220 130138905 138814832 156166686 160170960 173518540 192205152 208222248 240256440 260277810 277629664 312333372 320341920 347037080 390416715 416444496 480512880 520555620 624666744 694074160 780833430 832888992 961025760 1041111240 1249333488 1388148320 1561666860 2082222480 2498666976 3123333720 4164444960 6246667440 12493334880