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113980050708736 = 28472141972
BaseRepresentation
bin11001111010101000001100…
…011011110001100100000000
3112221120101102201010111002211
4121322220030123301210000
5104414422120440134421
61042225413515151504
733002533624404652
oct3172501433614400
9487511381114084
10113980050708736
1133354739197a93
121094a120445594
134b7a371068124
1420209419d86d2
15d29d3911b9e1
hex67aa0c6f1900

113980050708736 has 81 divisors (see below), whose sum is σ = 232474978136289. Its totient is φ = 55773542802432.

The previous prime is 113980050708721. The next prime is 113980050708749. The reversal of 113980050708736 is 637807050089311.

The square root of 113980050708736 is 10676144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112826884000000 + 1153166708736 = 10622000^2 + 1073856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8028453190 + ... + 8028467386.

Almost surely, 2113980050708736 is an apocalyptic number.

113980050708736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113980050708736 is the 10676144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113980050708736

113980050708736 is an abundant number, since it is smaller than the sum of its proper divisors (118494927427553).

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

113980050708736 is an frugal number, since it uses more digits than its factorization.

113980050708736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28504 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 113980050708736 in words is "one hundred thirteen trillion, nine hundred eighty billion, fifty million, seven hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1504 2209 3008 4418 6016 8836 12032 14197 17672 28394 35344 56788 70688 113576 141376 227152 282752 454304 565504 667259 908608 1334518 1817216 2669036 3634432 5338072 10676144 21352288 31361173 42704576 62722346 85409152 125444692 170818304 201554809 250889384 403109618 501778768 806219236 1003557536 1612438472 2007115072 3224876944 4014230144 6449753888 8028460288 9473076023 12899507776 18946152046 25799015552 37892304092 51598031104 75784608184 151569216368 303138432736 445234573081 606276865472 890469146162 1212553730944 1780938292324 2425107461888 3561876584648 7123753169296 14247506338592 28495012677184 56990025354368 113980050708736