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42513068307456 = 2103217271350773
BaseRepresentation
bin10011010101010010110000…
…10101011011010000000000
312120112012122211022101012100
421222221120111123100000
521033013230441314311
6230230122311430400
711645316315153045
oct1152513025332000
9176465584271170
1042513068307456
111260076682314a
124927398685400
131a94c715468b6
14a6d901a191cc
154dace0c73a56
hex26aa5855b400

42513068307456 has 132 divisors (see below), whose sum is σ = 129976478044452. Its totient is φ = 13337433145344.

The previous prime is 42513068307389. The next prime is 42513068307487. The reversal of 42513068307456 is 65470386031524.

42513068307456 is a `hidden beast` number, since 4 + 2 + 513 + 0 + 6 + 8 + 3 + 0 + 74 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11594842214400 + 30918226093056 = 3405120^2 + 5560416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135518715 + ... + 135832058.

Almost surely, 242513068307456 is an apocalyptic number.

It is an amenable number.

42513068307456 is an abundant number, since it is smaller than the sum of its proper divisors (87463409736996).

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

42513068307456 is a wasteful number, since it uses less digits than its factorization.

42513068307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271350816 (or 271350795 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 42513068307456 in words is "forty-two trillion, five hundred thirteen billion, sixty-eight million, three hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 78336 156672 271350773 542701546 814052319 1085403092 1628104638 2170806184 2442156957 3256209276 4341612368 4612963141 4884313914 6512418552 8683224736 9225926282 9768627828 13024837104 13838889423 17366449472 18451852564 19537255656 26049674208 27677778846 34732898944 36903705128 39074511312 41516668269 52099348416 55355557692 69465797888 73807410256 78149022624 83033336538 104198696832 110711115384 138931595776 147614820512 156298045248 166066673076 208397393664 221422230768 277863191552 295229641024 312596090496 332133346152 416794787328 442844461536 590459282048 625192180992 664266692304 833589574656 885688923072 1180918564096 1250384361984 1328533384608 1771377846144 2361837128192 2500768723968 2657066769216 3542755692288 4723674256384 5314133538432 7085511384576 10628267076864 14171022769152 21256534153728 42513068307456