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105592431378 = 23753244119433
BaseRepresentation
bin110001001010111001…
…1001010001100010010
3101002112220210021212210
41202111303022030102
53212223130301003
6120301500132550
710425451600110
oct1422563121422
9332486707783
10105592431378
11408661a1615
121856a837156
139c5a316c35
145179a98ab0
152b301b6503
hex1895cca312

105592431378 has 64 divisors (see below), whose sum is σ = 246021380352. Its totient is φ = 29586385920.

The previous prime is 105592431359. The next prime is 105592431383. The reversal of 105592431378 is 873134295501.

It is a super-2 number, since 2×1055924313782 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5423950 + ... + 5443382.

It is an arithmetic number, because the mean of its divisors is an integer number (3844084068).

Almost surely, 2105592431378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105592431378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123010690176).

105592431378 is an abundant number, since it is smaller than the sum of its proper divisors (140428948974).

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

105592431378 is a wasteful number, since it uses less digits than its factorization.

105592431378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21939.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 105592431378 in words is "one hundred five billion, five hundred ninety-two million, four hundred thirty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 2441 4882 7323 14646 17087 19433 34174 38866 51261 58299 102522 116598 129373 136031 258746 272062 388119 408093 776238 816186 905611 1029949 1811222 2059898 2716833 3089847 5433666 6179694 7209643 14419286 21628929 43257858 47435953 94871906 142307859 284615718 332051671 664103342 996155013 1992310026 2514105509 5028211018 7542316527 15084633054 17598738563 35197477126 52796215689 105592431378