Search a number
-
+
113681996352 = 26321711609681
BaseRepresentation
bin110100111011111111…
…0011001101001000000
3101212102200201202211100
41221313332121221000
53330310042340402
6124120315414400
711133101011461
oct1516776315100
9355380652740
10113681996352
1144237583501
121a047a54400
13a949288c82
1457061d8d68
152e554a471c
hex1a77f99a40

113681996352 has 84 divisors (see below), whose sum is σ = 345016529676. Its totient is φ = 35664936960.

The previous prime is 113681996303. The next prime is 113681996359. The reversal of 113681996352 is 253699186311.

113681996352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 83622758976 + 30059237376 = 289176^2 + 173376^2 .

It is a super-2 number, since 2×1136819963522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113681996359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5795049 + ... + 5814632.

It is an arithmetic number, because the mean of its divisors is an integer number (4107339639).

Almost surely, 2113681996352 is an apocalyptic number.

113681996352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113681996352 is an abundant number, since it is smaller than the sum of its proper divisors (231334533324).

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

113681996352 is a wasteful number, since it uses less digits than its factorization.

113681996352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609716 (or 11609703 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 113681996352 in words is "one hundred thirteen billion, six hundred eighty-one million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 11609681 23219362 34829043 46438724 69658086 92877448 104487129 139316172 185754896 197364577 208974258 278632344 371509792 394729154 417948516 557264688 592093731 743019584 789458308 835897032 1114529376 1184187462 1578916616 1671794064 1776281193 2229058752 2368374924 3157833232 3343588128 3552562386 4736749848 6315666464 6687176256 7105124772 9473499696 12631332928 14210249544 18946999392 28420499088 37893998784 56840998176 113681996352