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12645311416740 = 22325157447463249
BaseRepresentation
bin1011100000000011011101…
…0010111000100110100100
31122202212202111100121210200
42320000313102320212210
53124140044210313430
642521101553150500
72443410414365232
oct270006722704644
948685674317720
1012645311416740
1140359346a5452
1215028b525b430
137095a8925692
1431a0719d7952
1516de00be3460
hexb80374b89a4

12645311416740 has 72 divisors (see below), whose sum is σ = 38601759651000. Its totient is φ = 3350604801024.

The previous prime is 12645311416739. The next prime is 12645311416769. The reversal of 12645311416740 is 4761411354621.

12645311416740 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 531 + 1 + 41 + 6 + 74 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1931721938496 + 10713589478244 = 1389864^2 + 3273162^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223703365 + ... + 223759884.

Almost surely, 212645311416740 is an apocalyptic number.

12645311416740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12645311416740 is an abundant number, since it is smaller than the sum of its proper divisors (25956448234260).

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

12645311416740 is a wasteful number, since it uses less digits than its factorization.

12645311416740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447463421 (or 447463416 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12645311416740 in words is "twelve trillion, six hundred forty-five billion, three hundred eleven million, four hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 447463249 894926498 1342389747 1789852996 2237316245 2684779494 4027169241 4474632490 5369558988 6711948735 8054338482 8949264980 13423897470 16108676964 20135846205 26847794940 40271692410 70251730093 80543384820 140503460186 210755190279 281006920372 351258650465 421510380558 632265570837 702517300930 843020761116 1053775951395 1264531141674 1405034601860 2107551902790 2529062283348 3161327854185 4215103805580 6322655708370 12645311416740