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138681991512 = 23377926497
BaseRepresentation
bin1000000100101000010…
…1110100000101011000
3111020221222122010000000
42001022011310011120
54233010042212022
6143413140213000
713006445322651
oct2011205640530
9436858563000
10138681991512
11538a6406929
1222a6439a160
13101017c020c
1469d8580528
15391a1756ac
hex204a174158

138681991512 has 64 divisors (see below), whose sum is σ = 389983701600. Its totient is φ = 46227324672.

The previous prime is 138681991489. The next prime is 138681991517. The reversal of 138681991512 is 215199186831.

It is a happy number.

138681991512 is a `hidden beast` number, since 1 + 38 + 6 + 8 + 1 + 9 + 91 + 512 = 666.

138681991512 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1386819915122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138681991517) 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 15 ways as a sum of consecutive naturals, for example, 3945753 + ... + 3980744.

Almost surely, 2138681991512 is an apocalyptic number.

138681991512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138681991512 is an abundant number, since it is smaller than the sum of its proper divisors (251301710088).

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

138681991512 is an frugal number, since it uses more digits than its factorization.

138681991512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926524 (or 7926502 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 138681991512 in words is "one hundred thirty-eight billion, six hundred eighty-one million, nine hundred ninety-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 7926497 15852994 23779491 31705988 47558982 63411976 71338473 95117964 142676946 190235928 214015419 285353892 428030838 570707784 642046257 856061676 1284092514 1712123352 1926138771 2568185028 3852277542 5136370056 5778416313 7704555084 11556832626 15409110168 17335248939 23113665252 34670497878 46227330504 69340995756 138681991512