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116344104192 = 2833142911779
BaseRepresentation
bin110110001011010100…
…1100010010100000000
3102010022012221212021000
41230112221202110000
53401233042313232
6125240413532000
711256054366021
oct1542651422400
9363265855230
10116344104192
1145383239528
121a66b4a4000
13ac81966404
1458b99a6c48
15305e05227c
hex1b16a62500

116344104192 has 144 divisors (see below), whose sum is σ = 344319976000. Its totient is φ = 38750939136.

The previous prime is 116344104187. The next prime is 116344104193. The reversal of 116344104192 is 291401443611.

116344104192 is a `hidden beast` number, since 1 + 1 + 634 + 4 + 1 + 0 + 4 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116344104193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9871359 + ... + 9883137.

Almost surely, 2116344104192 is an apocalyptic number.

116344104192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116344104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172159988000).

116344104192 is an abundant number, since it is smaller than the sum of its proper divisors (227975871808).

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

116344104192 is a wasteful number, since it uses less digits than its factorization.

116344104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 116344104192 in words is "one hundred sixteen billion, three hundred forty-four million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1429 1728 2304 2858 3456 4287 5716 6912 8574 11432 11779 12861 17148 22864 23558 25722 34296 35337 38583 45728 47116 51444 68592 70674 77166 91456 94232 102888 106011 137184 141348 154332 182912 188464 205776 212022 274368 282696 308664 318033 365824 376928 411552 424044 548736 565392 617328 636066 753856 823104 848088 1097472 1130784 1234656 1272132 1507712 1646208 1696176 2261568 2469312 2544264 3015424 3292416 3392352 4523136 4938624 5088528 6784704 9046272 9877248 10177056 13569408 16832191 20354112 27138816 33664382 40708224 50496573 67328764 81416448 100993146 134657528 151489719 201986292 269315056 302979438 403972584 454469157 538630112 605958876 807945168 908938314 1077260224 1211917752 1615890336 1817876628 2154520448 2423835504 3231780672 3635753256 4309040896 4847671008 6463561344 7271506512 9695342016 12927122688 14543013024 19390684032 29086026048 38781368064 58172052096 116344104192