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137724420764 = 22710945125957
BaseRepresentation
bin1000000001000100000…
…0111110001010011100
3111011111020210110212202
42000101000332022130
54224024422431024
6143134132151032
712643640155340
oct2002100761234
9434436713782
10137724420764
1153454932847
1222837768478
13ccab2ba4c8
146947319620
1538b1075bae
hex201103e29c

137724420764 has 24 divisors (see below), whose sum is σ = 277975901280. Its totient is φ = 58483238976.

The previous prime is 137724420763. The next prime is 137724420787. The reversal of 137724420764 is 467024427731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137724420763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22559927 + ... + 22566030.

It is an arithmetic number, because the mean of its divisors is an integer number (11582329220).

Almost surely, 2137724420764 is an apocalyptic number.

137724420764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137724420764 is an abundant number, since it is smaller than the sum of its proper divisors (140251480516).

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

137724420764 is a wasteful number, since it uses less digits than its factorization.

137724420764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45126077 (or 45126075 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 47.

The spelling of 137724420764 in words is "one hundred thirty-seven billion, seven hundred twenty-four million, four hundred twenty thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 109 218 436 763 1526 3052 45125957 90251914 180503828 315881699 631763398 1263526796 4918729313 9837458626 19674917252 34431105191 68862210382 137724420764