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138074365583 = 71131127563809
BaseRepresentation
bin1000000010010111011…
…1111001111010001111
3111012101122021111220222
42000211313321322033
54230234014144313
6143232552501555
712655416512540
oct2004567717217
9435348244828
10138074365583
115361441a540
12229149aa8bb
131003595454b
14697b9b04c7
1538d1b4d208
hex2025df9e8f

138074365583 has 64 divisors (see below), whose sum is σ = 179636797440. Its totient is φ = 102988972800.

The previous prime is 138074365553. The next prime is 138074365613. The reversal of 138074365583 is 385563470831.

It is an interprime number because it is at equal distance from previous prime (138074365553) and next prime (138074365613).

It is not a de Polignac number, because 138074365583 - 26 = 138074365519 is a prime.

It is a super-2 number, since 2×1380743655832 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138074365523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170672483 + ... + 170673291.

It is an arithmetic number, because the mean of its divisors is an integer number (2806824960).

Almost surely, 2138074365583 is an apocalyptic number.

138074365583 is a deficient number, since it is larger than the sum of its proper divisors (41562431857).

138074365583 is a wasteful number, since it uses less digits than its factorization.

138074365583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548.

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 138074365583 in words is "one hundred thirty-eight billion, seventy-four million, three hundred sixty-five thousand, five hundred eighty-three".

Divisors: 1 7 11 31 77 127 217 341 563 809 889 1397 2387 3937 3941 5663 6193 8899 9779 17453 25079 27559 43307 43351 62293 71501 102743 122171 175553 191983 275869 303149 455467 500507 719201 786511 1130173 1343881 1931083 2216531 3185033 3188269 5010137 5505577 7911211 14119477 15515717 22295231 24381841 35035363 35070959 57844309 98836339 155314247 170672887 245247541 404910163 636287399 1087199729 1793173579 4454011793 12552215053 19724909369 138074365583