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138367766416 = 24113125360661
BaseRepresentation
bin1000000011011101011…
…1001000111110010000
3111020011002100211012111
42000313113020332100
54231334122011131
6143322033235104
712665611415545
oct2006727107620
9436132324174
10138367766416
1153754aa6970
1222997102a94
13100816816c9
1469a8946bcc
1538ec7a6ab1
hex20375c8f90

138367766416 has 40 divisors (see below), whose sum is σ = 301893320448. Its totient is φ = 60865584000.

The previous prime is 138367766413. The next prime is 138367766417. The reversal of 138367766416 is 614667763831.

It is not an unprimeable number, because it can be changed into a prime (138367766413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12674875 + ... + 12685786.

Almost surely, 2138367766416 is an apocalyptic number.

138367766416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138367766416 is an abundant number, since it is smaller than the sum of its proper divisors (163525554032).

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

138367766416 is a wasteful number, since it uses less digits than its factorization.

138367766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25360711 (or 25360705 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The spelling of 138367766416 in words is "one hundred thirty-eight billion, three hundred sixty-seven million, seven hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 25360661 50721322 101442644 202885288 278967271 405770576 557934542 786180491 1115869084 1572360982 2231738168 3144721964 4463476336 6289443928 8647985401 12578887856 17295970802 34591941604 69183883208 138367766416