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138617722872 = 233623768471
BaseRepresentation
bin1000000100011001000…
…0101001011111111000
3111020210111200221000000
42001012100221133320
54232342114112442
6143402522513000
713005035126556
oct2010620513770
9436714627000
10138617722872
11538730aa952
1222a46965760
13100c13aa335
1469cdc10bd6
1539146ccd4c
hex20464297f8

138617722872 has 56 divisors (see below), whose sum is σ = 389684098440. Its totient is φ = 46205905680.

The previous prime is 138617722871. The next prime is 138617722909. The reversal of 138617722872 is 278227716831.

138617722872 is a `hidden beast` number, since 1 + 386 + 177 + 2 + 28 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138617722871) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11878404 + ... + 11890067.

It is an arithmetic number, because the mean of its divisors is an integer number (6958644615).

Almost surely, 2138617722872 is an apocalyptic number.

138617722872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138617722872 is an abundant number, since it is smaller than the sum of its proper divisors (251066375568).

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

138617722872 is an equidigital number, since it uses as much as digits as its factorization.

138617722872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23768495 (or 23768476 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 138617722872 in words is "one hundred thirty-eight billion, six hundred seventeen million, seven hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 23768471 47536942 71305413 95073884 142610826 190147768 213916239 285221652 427832478 570443304 641748717 855664956 1283497434 1711329912 1925246151 2566994868 3850492302 5133989736 5775738453 7700984604 11551476906 15401969208 17327215359 23102953812 34654430718 46205907624 69308861436 138617722872