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137728651365 = 3253060636697
BaseRepresentation
bin1000000001000101000…
…1000111000001100101
3111011111112202102011200
42000101101013001211
54224032013320430
6143134402553113
712644021135424
oct2002121070145
9434445672150
10137728651365
1153457262308
1222839068799
13ccac13c016
146947adb2bb
1538b160e460
hex2011447065

137728651365 has 12 divisors (see below), whose sum is σ = 238729662444. Its totient is φ = 73455280704.

The previous prime is 137728651337. The next prime is 137728651367. The reversal of 137728651365 is 563156827731.

137728651365 is a `hidden beast` number, since 137 + 72 + 86 + 5 + 1 + 365 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70933799556 + 66794851809 = 266334^2 + 258447^2 .

It is not a de Polignac number, because 137728651365 - 212 = 137728647269 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137728651367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530318304 + ... + 1530318393.

It is an arithmetic number, because the mean of its divisors is an integer number (19894138537).

Almost surely, 2137728651365 is an apocalyptic number.

137728651365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137728651365 is a deficient number, since it is larger than the sum of its proper divisors (101001011079).

137728651365 is a wasteful number, since it uses less digits than its factorization.

137728651365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060636708 (or 3060636705 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 137728651365 in words is "one hundred thirty-seven billion, seven hundred twenty-eight million, six hundred fifty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 3060636697 9181910091 15303183485 27545730273 45909550455 137728651365