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137568813820 = 22543493732401
BaseRepresentation
bin1000000000011110111…
…1011000001011111100
3111011002101222211021121
42000013233120023330
54223220104020240
6143110453040324
712640040423644
oct2000757301374
9434071884247
10137568813820
1153385010a69
12227b36260a4
13cc84ca74a9
1469307b1524
1538a258a04a
hex2007bd82fc

137568813820 has 48 divisors (see below), whose sum is σ = 295681988448. Its totient is φ = 53735270400.

The previous prime is 137568813793. The next prime is 137568813821. The reversal of 137568813820 is 28318865731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137568813821) 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, 4229620 + ... + 4262020.

It is an arithmetic number, because the mean of its divisors is an integer number (6160041426).

Almost surely, 2137568813820 is an apocalyptic number.

137568813820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137568813820 is an abundant number, since it is smaller than the sum of its proper divisors (158113174628).

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

137568813820 is a wasteful number, since it uses less digits than its factorization.

137568813820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37390 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 137568813820 in words is "one hundred thirty-seven billion, five hundred sixty-eight million, eight hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 4937 9874 19748 24685 32401 49370 64802 98740 129604 162005 212291 324010 424582 648020 849164 1061455 1393243 2122910 2786486 4245820 5572972 6966215 13932430 27864860 159963737 319927474 639854948 799818685 1599637370 3199274740 6878440691 13756881382 27513762764 34392203455 68784406910 137568813820