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34381253816 = 2371347226997
BaseRepresentation
bin100000000001010010…
…000100110010111000
310021202002101122201222
4200001102010302320
51030403100110231
623443341331212
72324666556410
oct400122046270
9107662348658
1034381253816
1113643359958
1267b6266b08
13331bc93590
141942283640
15d635ad27b
hex801484cb8

34381253816 has 32 divisors (see below), whose sum is σ = 79341356640. Its totient is φ = 13601374848.

The previous prime is 34381253801. The next prime is 34381253827. The reversal of 34381253816 is 61835218343.

It is a super-2 number, since 2×343812538162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23612771 + ... + 23614226.

It is an arithmetic number, because the mean of its divisors is an integer number (2479417395).

Almost surely, 234381253816 is an apocalyptic number.

It is an amenable number.

34381253816 is an abundant number, since it is smaller than the sum of its proper divisors (44960102824).

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

34381253816 is a wasteful number, since it uses less digits than its factorization.

34381253816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47227023 (or 47227019 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 34381253816 in words is "thirty-four billion, three hundred eighty-one million, two hundred fifty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 47226997 94453994 188907988 330588979 377815976 613950961 661177958 1227901922 1322355916 2455803844 2644711832 4297656727 4911607688 8595313454 17190626908 34381253816