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105763454840 = 23523114960277
BaseRepresentation
bin110001001111111111…
…1100011111101111000
3101002222211121011222002
41202133333203331320
53213100421023330
6120330445520132
710432626350561
oct1423777437570
9332884534862
10105763454840
114094379301a
12185b7b73048
139c86897054
145194697168
152b401e9e45
hex189ffe3f78

105763454840 has 32 divisors (see below), whose sum is σ = 248314200480. Its totient is φ = 40466017152.

The previous prime is 105763454779. The next prime is 105763454857. The reversal of 105763454840 is 48454367501.

It is a super-2 number, since 2×1057634548402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57479219 + ... + 57481058.

It is an arithmetic number, because the mean of its divisors is an integer number (7759818765).

Almost surely, 2105763454840 is an apocalyptic number.

105763454840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105763454840 is an abundant number, since it is smaller than the sum of its proper divisors (142550745640).

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

105763454840 is a wasteful number, since it uses less digits than its factorization.

105763454840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114960311 (or 114960307 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 105763454840 in words is "one hundred five billion, seven hundred sixty-three million, four hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 114960277 229920554 459841108 574801385 919682216 1149602770 2299205540 2644086371 4598411080 5288172742 10576345484 13220431855 21152690968 26440863710 52881727420 105763454840