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63134742720 = 263579395051
BaseRepresentation
bin111010110011000111…
…111011100011000000
320000221222011020100110
4322303013323203000
52013244443231340
645000444351320
74363352313210
oct726307734300
9200858136313
1063134742720
1124858a09725
121029b845540
135c5202ab3a
1430acd32240
151997a60680
hexeb31fb8c0

63134742720 has 112 divisors (see below), whose sum is σ = 229088947968. Its totient is φ = 14430796800.

The previous prime is 63134742703. The next prime is 63134742721. The reversal of 63134742720 is 2724743136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (63134742721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4690806 + ... + 4704245.

Almost surely, 263134742720 is an apocalyptic number.

63134742720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63134742720 is an abundant number, since it is smaller than the sum of its proper divisors (165954205248).

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

63134742720 is a wasteful number, since it uses less digits than its factorization.

63134742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395078 (or 9395068 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 63134742720 in words is "sixty-three billion, one hundred thirty-four million, seven hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9395051 18790102 28185153 37580204 46975255 56370306 65765357 75160408 93950510 112740612 131530714 140925765 150320816 187901020 197296071 225481224 263061428 281851530 300641632 328826785 375802040 394592142 450962448 526122856 563703060 601283264 657653570 751604080 789184284 901924896 986480355 1052245712 1127406120 1315307140 1503208160 1578368568 1803849792 1972960710 2104491424 2254812240 2630614280 3006416320 3156737136 3945921420 4208982848 4509624480 5261228560 6313474272 7891842840 9019248960 10522457120 12626948544 15783685680 21044914240 31567371360 63134742720