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113719705104 = 24331418832111
BaseRepresentation
bin110100111101000111…
…0001111111000010000
3101212112022200120111210
41221322032033320100
53330344221030404
6124124143540120
711134036354515
oct1517216177020
9355468616453
10113719705104
1144256899665
121a0585ba640
13a95402c945
14570b21330c
152e58952689
hex1a7a38fe10

113719705104 has 160 divisors (see below), whose sum is σ = 311148085248. Its totient is φ = 35731584000.

The previous prime is 113719705093. The next prime is 113719705109. The reversal of 113719705104 is 401507917311.

It is not an unprimeable number, because it can be changed into a prime (113719705109) 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 31 ways as a sum of consecutive naturals, for example, 53869009 + ... + 53871119.

Almost surely, 2113719705104 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 113719705104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155574042624).

113719705104 is an abundant number, since it is smaller than the sum of its proper divisors (197428380144).

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

113719705104 is a wasteful number, since it uses less digits than its factorization.

113719705104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The spelling of 113719705104 in words is "one hundred thirteen billion, seven hundred nineteen million, seven hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 883 984 1271 1488 1766 1968 2111 2542 2649 3532 3813 4222 5084 5298 6333 7064 7626 8444 10168 10596 12666 14128 15252 16888 20336 21192 25332 27373 30504 33776 36203 42384 50664 54746 61008 65441 72406 82119 86551 101328 108609 109492 130882 144812 164238 173102 196323 217218 218984 259653 261764 289624 328476 346204 392646 434436 437968 519306 523528 579248 656952 692408 785292 868872 1038612 1047056 1122293 1313904 1384816 1570584 1737744 1864013 2077224 2244586 2683081 3141168 3366879 3728026 4154448 4489172 5366162 5592039 6733758 7456052 8049243 8978344 10732324 11184078 13467516 14912104 16098486 17956688 21464648 22368156 26935032 29824208 32196972 42929296 44736312 53870064 57784403 64393944 76424533 89472624 115568806 128787888 152849066 173353209 229273599 231137612 305698132 346706418 458547198 462275224 611396264 693412836 917094396 924550448 1222792528 1386825672 1834188792 2369160523 2773651344 3668377584 4738321046 7107481569 9476642092 14214963138 18953284184 28429926276 37906568368 56859852552 113719705104