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137882953512 = 2333638347007
BaseRepresentation
bin1000000001101001110…
…1101110011100101000
3111011220022002202221000
42000122131232130220
54224341014003022
6143201554115000
712650603524053
oct2003235563450
9434808082830
10137882953512
1153526372847
122288087ba60
13100050b6175
1469603c5a9a
1538bee3d6ac
hex201a76e728

137882953512 has 32 divisors (see below), whose sum is σ = 383008204800. Its totient is φ = 45960984432.

The previous prime is 137882953499. The next prime is 137882953519. The reversal of 137882953512 is 215359288731.

137882953512 is a `hidden beast` number, since 1 + 3 + 7 + 88 + 29 + 535 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137882953519) 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 7 ways as a sum of consecutive naturals, for example, 319173288 + ... + 319173719.

It is an arithmetic number, because the mean of its divisors is an integer number (11969006400).

Almost surely, 2137882953512 is an apocalyptic number.

137882953512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137882953512 is an abundant number, since it is smaller than the sum of its proper divisors (245125251288).

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

137882953512 is a wasteful number, since it uses less digits than its factorization.

137882953512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638347022 (or 638347012 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

It can be divided in two parts, 1378829 and 53512, that added together give a palindrome (1432341).

The spelling of 137882953512 in words is "one hundred thirty-seven billion, eight hundred eighty-two million, nine hundred fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 638347007 1276694014 1915041021 2553388028 3830082042 5106776056 5745123063 7660164084 11490246126 15320328168 17235369189 22980492252 34470738378 45960984504 68941476756 137882953512