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137947413590 = 2573939750021
BaseRepresentation
bin1000000001111001001…
…1100111110001010110
3111012001210101200112022
42000132103213301112
54230004014213330
6143212215453142
712652315445240
oct2003623476126
9435053350468
10137947413590
115355979a638
122289a3871b2
131001556521c
146968ba5090
1538c5922ae5
hex201e4e7c56

137947413590 has 32 divisors (see below), whose sum is σ = 283790412864. Its totient is φ = 47294110080.

The previous prime is 137947413551. The next prime is 137947413599. The reversal of 137947413590 is 95314749731.

It is a super-3 number, since 3×1379474135903 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137947413599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732780 + ... + 2782800.

It is an arithmetic number, because the mean of its divisors is an integer number (8868450402).

Almost surely, 2137947413590 is an apocalyptic number.

137947413590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137947413590 is an abundant number, since it is smaller than the sum of its proper divisors (145842999274).

137947413590 is a wasteful number, since it uses less digits than its factorization.

137947413590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89432.

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 137947413590 in words is "one hundred thirty-seven billion, nine hundred forty-seven million, four hundred thirteen thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 39397 50021 78794 100042 196985 250105 275779 350147 393970 500210 551558 700294 1378895 1750735 2757790 3501470 1970677337 3941354674 9853386685 13794741359 19706773370 27589482718 68973706795 137947413590