Search a number
-
+
113603388642 = 232191932516857
BaseRepresentation
bin110100111001101001…
…0100010010011100010
3101212020012211002022200
41221303102202103202
53330124431414032
6124104430514030
711131124604462
oct1516322422342
9355205732280
10113603388642
11441a7173357
121a025665916
13a935bc5533
1456d99b5ba2
152e4d62847c
hex1a734a24e2

113603388642 has 96 divisors (see below), whose sum is σ = 261513645120. Its totient is φ = 35541504000.

The previous prime is 113603388631. The next prime is 113603388643. The reversal of 113603388642 is 246883306311.

113603388642 is a `hidden beast` number, since 1 + 1 + 3 + 603 + 38 + 8 + 6 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (113603388643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16564078 + ... + 16570934.

It is an arithmetic number, because the mean of its divisors is an integer number (2724100470).

Almost surely, 2113603388642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113603388642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130756822560).

113603388642 is an abundant number, since it is smaller than the sum of its proper divisors (147910256478).

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

113603388642 is a wasteful number, since it uses less digits than its factorization.

113603388642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 113603388642 in words is "one hundred thirteen billion, six hundred three million, three hundred eighty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 251 342 386 502 579 753 1158 1506 1737 2259 3474 3667 4518 4769 6857 7334 9538 11001 13714 14307 20571 22002 28614 33003 41142 42921 48443 61713 66006 85842 96886 123426 130283 145329 260566 290658 390849 435987 781698 871974 920417 1172547 1323401 1721107 1840834 2345094 2646802 2761251 3442214 3970203 5163321 5522502 7940406 8283753 10326642 11910609 15489963 16567506 23821218 25144619 30979926 32701033 50289238 65402066 75433857 98103099 150867714 196206198 226301571 294309297 332173651 452603142 588618594 664347302 996520953 1993041906 2989562859 5979125718 6311299369 12622598738 18933898107 37867796214 56801694321 113603388642