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13761544134 = 23131071648879
BaseRepresentation
bin11001101000100000…
…00111111111000110
31022112001202212121210
430310100013333012
5211140423403014
610153313352250
7665011123632
oct146420077706
938461685553
1013761544134
11592203a878
122800868686
1313b40abb30
14947963dc2
1555822e859
hex334407fc6

13761544134 has 32 divisors (see below), whose sum is σ = 29917278720. Its totient is φ = 4194745632.

The previous prime is 13761544129. The next prime is 13761544151. The reversal of 13761544134 is 43144516731.

13761544134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13761544092 and 13761544101.

It is a congruent number.

It is an unprimeable number.

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, 816094 + ... + 832785.

It is an arithmetic number, because the mean of its divisors is an integer number (934914960).

Almost surely, 213761544134 is an apocalyptic number.

13761544134 is an abundant number, since it is smaller than the sum of its proper divisors (16155734586).

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

13761544134 is a wasteful number, since it uses less digits than its factorization.

13761544134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649004.

The product of its digits is 120960, while the sum is 39.

The spelling of 13761544134 in words is "thirteen billion, seven hundred sixty-one million, five hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 8346 1648879 3297758 4946637 9893274 21435427 42870854 64306281 128612562 176430053 352860106 529290159 1058580318 2293590689 4587181378 6880772067 13761544134