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138560506952 = 23721726217933
BaseRepresentation
bin1000000100001011011…
…0011000110001001000
3111020122112001001111212
42001002312120301020
54232232442210302
6143353120312252
713003441606400
oct2010266306110
9436575031455
10138560506952
115384388076a
1222a2b772688
13100b259666a
1469c6399800
15390e67a052
hex2042d98c48

138560506952 has 96 divisors (see below), whose sum is σ = 320157369720. Its totient is φ = 55861585920.

The previous prime is 138560506927. The next prime is 138560506957. The reversal of 138560506952 is 259605065831.

It can be written as a sum of positive squares in 4 ways, for example, as 134121483076 + 4439023876 = 366226^2 + 66626^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138560506952.

It is not an unprimeable number, because it can be changed into a prime (138560506957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17462378 + ... + 17470310.

Almost surely, 2138560506952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138560506952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160078684860).

138560506952 is an abundant number, since it is smaller than the sum of its proper divisors (181596862768).

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

138560506952 is a wasteful number, since it uses less digits than its factorization.

138560506952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 50.

The spelling of 138560506952 in words is "one hundred thirty-eight billion, five hundred sixty million, five hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 2621 3332 5242 6664 7933 10484 15866 18347 20968 31732 36694 44557 55531 63464 73388 89114 111062 128429 134861 146776 178228 222124 256858 269722 311899 356456 388717 444248 513716 539444 623798 777434 944027 1027432 1078888 1247596 1554868 1888054 2183293 2495192 3109736 3776108 4366586 6608189 7552216 8733172 13216378 17466344 20792393 26432756 41584786 52865512 83169572 145546751 166339144 291093502 353470681 582187004 706941362 1018827257 1164374008 1413882724 2037654514 2474294767 2827765448 4075309028 4948589534 8150618056 9897179068 17320063369 19794358136 34640126738 69280253476 138560506952