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138775002639 = 37213376173181
BaseRepresentation
bin1000000100111110100…
…0100111111000001111
3111021012110122120021120
42001033220213320033
54233202400041024
6143430301532023
713011655026300
oct2011750477017
9437173576246
10138775002639
1153943964529
1222a8b574013
1310117b578a0
146a06a727a7
1539233e9479
hex204fa27e0f

138775002639 has 96 divisors (see below), whose sum is σ = 238525672896. Its totient is φ = 71083837440.

The previous prime is 138775002617. The next prime is 138775002643. The reversal of 138775002639 is 936200577831.

138775002639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138775002639 - 28 = 138775002383 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138775002591 and 138775002600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138775002679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43624629 + ... + 43627809.

It is an arithmetic number, because the mean of its divisors is an integer number (2484642426).

Almost surely, 2138775002639 is an apocalyptic number.

138775002639 is a deficient number, since it is larger than the sum of its proper divisors (99750670257).

138775002639 is a wasteful number, since it uses less digits than its factorization.

138775002639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 138775002639 in words is "one hundred thirty-eight billion, seven hundred seventy-five million, two thousand, six hundred thirty-nine".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 617 637 777 1443 1813 1851 1911 3181 3367 4319 5439 8021 9543 10101 12957 22267 22829 23569 24063 30233 41353 56147 66801 68487 70707 90699 117697 124059 155869 159803 168441 289471 296777 353091 393029 467607 479409 823879 868413 890331 1118621 1179087 1530061 1962677 2026297 2077439 2471637 3355863 4590183 5767153 5888031 6078891 6232317 10710427 13738739 14542073 17301459 25514801 32131281 41216217 43626219 72619049 74972989 76544403 96171173 178603607 217857147 224918967 288513519 508333343 535810821 944047637 1250225249 1525000029 2832142911 3558333401 3750675747 6608333459 10675000203 19825000377 46258334213 138775002639