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138038016630 = 23519277874267
BaseRepresentation
bin1000000010001110110…
…1001111101001110110
3111012022002212210112110
42000203231033221312
54230200213013010
6143225213431450
712654465532113
oct2004355175166
9435262783473
10138038016630
11535a5952a88
122290479b586
131002b2687a7
146976c2b90a
1538cd86d120
hex2023b4fa76

138038016630 has 64 divisors (see below), whose sum is σ = 349986965760. Its totient is φ = 34746827904.

The previous prime is 138038016563. The next prime is 138038016637. The reversal of 138038016630 is 36610830831.

138038016630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138038016637) 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 31 ways as a sum of consecutive naturals, for example, 279244 + ... + 595023.

It is an arithmetic number, because the mean of its divisors is an integer number (5468546340).

Almost surely, 2138038016630 is an apocalyptic number.

138038016630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138038016630 is an abundant number, since it is smaller than the sum of its proper divisors (211948949130).

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

138038016630 is a wasteful number, since it uses less digits than its factorization.

138038016630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874573.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 138038016630 in words is "one hundred thirty-eight billion, thirty-eight million, sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 277 285 554 570 831 1385 1662 2770 4155 5263 8310 10526 15789 26315 31578 52630 78945 157890 874267 1748534 2622801 4371335 5245602 8742670 13114005 16611073 26228010 33222146 49833219 83055365 99666438 166110730 242171959 249166095 484343918 498332190 726515877 1210859795 1453031754 2421719590 3632579385 4601267221 7265158770 9202534442 13803801663 23006336105 27607603326 46012672210 69019008315 138038016630