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113341989816 = 23321141285133
BaseRepresentation
bin110100110001110110…
…1011000001110111000
3101211112222221122112200
41221203231120032320
53324111022133231
6124022452110200
711121502005666
oct1514355301670
9354488848480
10113341989816
1144082664570
1219b72005360
13a8c39c1683
1456b2dadc36
152e356e1be6
hex1a63b583b8

113341989816 has 144 divisors (see below), whose sum is σ = 343244963880. Its totient is φ = 33507955200.

The previous prime is 113341989809. The next prime is 113341989863. The reversal of 113341989816 is 618989143311.

113341989816 is a `hidden beast` number, since 1 + 133 + 419 + 8 + 98 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1288786 + ... + 1373918.

Almost surely, 2113341989816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113341989816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171622481940).

113341989816 is an abundant number, since it is smaller than the sum of its proper divisors (229902974064).

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

113341989816 is a wasteful number, since it uses less digits than its factorization.

113341989816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85238 (or 85190 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 113341989816 in words is "one hundred thirteen billion, three hundred forty-one million, nine hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1681 1804 2706 2952 3362 3608 4059 5043 5412 6724 8118 10086 10824 13448 15129 16236 18491 20172 30258 32472 36982 40344 55473 60516 73964 85133 110946 121032 147928 166419 170266 221892 255399 332838 340532 443784 510798 665676 681064 766197 936463 1021596 1331352 1532394 1872926 2043192 2809389 3064788 3490453 3745852 5618778 6129576 6980906 7491704 8428167 10471359 11237556 13961812 16856334 20942718 22475112 27923624 31414077 33712668 38394983 41885436 62828154 67425336 76789966 83770872 115184949 125656308 143108573 153579932 230369898 251312616 286217146 307159864 345554847 429325719 460739796 572434292 691109694 858651438 921479592 1144868584 1287977157 1382219388 1574194303 1717302876 2575954314 2764438776 3148388606 3434605752 4722582909 5151908628 6296777212 9445165818 10303817256 12593554424 14167748727 18890331636 28335497454 37780663272 56670994908 113341989816