Base | Representation |
---|---|
bin | 11111001011001000011110… |
… | …010011111000011000101000 |
3 | 122222110001120011122020201010 |
4 | 133023020132103320120220 |
5 | 120432304410331113310 |
6 | 1203332530015023520 |
7 | 40610320124046612 |
oct | 3713103623703050 |
9 | 588401504566633 |
10 | 137104454551080 |
11 | 3a75a744319845 |
12 | 1346391850aba0 |
13 | 5b66b82542c93 |
14 | 25bdc68ccddb2 |
15 | 10cb6050e4320 |
hex | 7cb21e4f8628 |
137104454551080 has 128 divisors (see below), whose sum is σ = 413346104553600. Its totient is φ = 36380682703872.
The previous prime is 137104454551069. The next prime is 137104454551081. The reversal of 137104454551080 is 80155454401731.
137104454551080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1371044545510802 (a number of 29 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (137104454551081) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46579614 + ... + 49435506.
It is an arithmetic number, because the mean of its divisors is an integer number (3229266441825).
Almost surely, 2137104454551080 is an apocalyptic number.
137104454551080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137104454551080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206673052276800).
137104454551080 is an abundant number, since it is smaller than the sum of its proper divisors (276241650002520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137104454551080 is a wasteful number, since it uses less digits than its factorization.
137104454551080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2857883 (or 2857879 counting only the distinct ones).
The product of its (nonzero) digits is 1344000, while the sum is 48.
The spelling of 137104454551080 in words is "one hundred thirty-seven trillion, one hundred four billion, four hundred fifty-four million, five hundred fifty-one thousand, eighty".
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