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112935539706 = 2311193110192851
BaseRepresentation
bin110100100101101111…
…0111001001111111010
3101210111200010211210220
41221023132321033322
53322242444232311
6123514252320510
711105435151153
oct1511336711772
9353450124726
10112935539706
1143994193590
1219a79a73136
13a85a732252
14567500a92a
152e0eba7206
hex1a4b7b93fa

112935539706 has 128 divisors (see below), whose sum is σ = 268097126400. Its totient is φ = 31334040000.

The previous prime is 112935539653. The next prime is 112935539723. The reversal of 112935539706 is 607935539211.

It is a super-2 number, since 2×1129355397062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39611181 + ... + 39614031.

It is an arithmetic number, because the mean of its divisors is an integer number (2094508800).

Almost surely, 2112935539706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112935539706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134048563200).

112935539706 is an abundant number, since it is smaller than the sum of its proper divisors (155161586694).

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

112935539706 is a wasteful number, since it uses less digits than its factorization.

112935539706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 112935539706 in words is "one hundred twelve billion, nine hundred thirty-five million, five hundred thirty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1019 1023 1178 1254 1767 2038 2046 2851 3057 3534 5702 6114 6479 8553 11209 12958 17106 19361 19437 22418 31361 31589 33627 38722 38874 54169 58083 62722 63178 67254 88381 94083 94767 108338 116166 162507 176762 188166 189534 212971 265143 325014 347479 425942 530286 595859 600191 638913 694958 972191 1042437 1191718 1200382 1277826 1679239 1787577 1800573 1944382 2084874 2905169 2916573 3358478 3575154 3601146 5037717 5810338 5833146 6602101 8715507 10075434 13204202 17431014 18471629 19806303 31956859 36943258 39612606 55198211 55414887 63913718 90060239 95870577 110396422 110829774 165594633 180120478 191741154 270180717 331189266 540361434 607180321 990662629 1214360642 1711144541 1821540963 1981325258 2971987887 3422289082 3643081926 5133433623 5943975774 10266867246 18822589951 37645179902 56467769853 112935539706