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1123604041638 = 231316786258563
BaseRepresentation
bin10000010110011100000…
…001010000111110100110
310222102012220020022200010
4100112130001100332212
5121402120113313023
62220102050031050
7144114645525321
oct20263401207646
93872186208603
101123604041638
113a3577209921
12161918878486
1381c56049810
143c5502b17b8
151e362d2b093
hex1059c050fa6

1123604041638 has 32 divisors (see below), whose sum is σ = 2434561710336. Its totient is φ = 343654111008.

The previous prime is 1123604041633. The next prime is 1123604041667. The reversal of 1123604041638 is 8361404063211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1123604041596 and 1123604041605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123604041633) 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 15 ways as a sum of consecutive naturals, for example, 43116256 + ... + 43142307.

It is an arithmetic number, because the mean of its divisors is an integer number (76080053448).

Almost surely, 21123604041638 is an apocalyptic number.

1123604041638 is an abundant number, since it is smaller than the sum of its proper divisors (1310957668698).

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

1123604041638 is a wasteful number, since it uses less digits than its factorization.

1123604041638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86258748.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1123604041638 in words is "one trillion, one hundred twenty-three billion, six hundred four million, forty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 1002 2171 4342 6513 13026 86258563 172517126 258775689 517551378 1121361319 2242722638 3364083957 6728167914 14405180021 28810360042 43215540063 86431080126 187267340273 374534680546 561802020819 1123604041638