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105705237714 = 2329129604811
BaseRepresentation
bin110001001110010000…
…1011110110011010010
3101002211210001110002020
41202130201132303102
53212441020101324
6120321010032310
710431321460416
oct1423441366322
9332753043066
10105705237714
114091393a69a
12185a0578696
139c777c274b
14518aa60d46
152b3a04a679
hex189c85ecd2

105705237714 has 16 divisors (see below), whose sum is σ = 211418082720. Its totient is φ = 35233811360.

The previous prime is 105705237683. The next prime is 105705237719. The reversal of 105705237714 is 417732507501.

It is a super-2 number, since 2×1057052377142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105705237719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127632 + ... + 477179.

It is an arithmetic number, because the mean of its divisors is an integer number (13213630170).

Almost surely, 2105705237714 is an apocalyptic number.

105705237714 is an abundant number, since it is smaller than the sum of its proper divisors (105712845006).

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

105705237714 is a wasteful number, since it uses less digits than its factorization.

105705237714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633945.

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 105705237714 in words is "one hundred five billion, seven hundred five million, two hundred thirty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 29129 58258 87387 174774 604811 1209622 1814433 3628866 17617539619 35235079238 52852618857 105705237714