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138835243365 = 35713293507269
BaseRepresentation
bin1000000101001100111…
…0011011000101100101
3111021100200000010000120
42001103032123011211
54233313310241430
6143440253032153
713013316045240
oct2012316330545
9437320003016
10138835243365
115397496a255
1222aa7785659
131012748a2a0
146a10a74257
153928848610
hex205339b165

138835243365 has 64 divisors (see below), whose sum is σ = 282826252800. Its totient is φ = 56565218304.

The previous prime is 138835243363. The next prime is 138835243397. The reversal of 138835243365 is 563342538831.

It is not a de Polignac number, because 138835243365 - 21 = 138835243363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138835243363) 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 63 ways as a sum of consecutive naturals, for example, 1714050 + ... + 1793219.

It is an arithmetic number, because the mean of its divisors is an integer number (4419160200).

Almost surely, 2138835243365 is an apocalyptic number.

138835243365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138835243365 is an abundant number, since it is smaller than the sum of its proper divisors (143991009435).

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

138835243365 is a wasteful number, since it uses less digits than its factorization.

138835243365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507326.

The product of its digits is 6220800, while the sum is 51.

The spelling of 138835243365 in words is "one hundred thirty-eight billion, eight hundred thirty-five million, two hundred forty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 29 35 39 65 87 91 105 145 195 203 273 377 435 455 609 1015 1131 1365 1885 2639 3045 5655 7917 13195 39585 3507269 10521807 17536345 24550883 45594497 52609035 73652649 101710801 122754415 136783491 227972485 305132403 319161479 368263245 508554005 683917455 711975607 957484437 1322240413 1525662015 1595807395 2135926821 3559878035 3966721239 4787422185 6611202065 9255682891 10679634105 19833606195 27767048673 46278414455 138835243365