Base | Representation |
---|---|
bin | 100010100101100000… |
… | …001001100111001000 |
3 | 10112212002200221100220 |
4 | 202211200021213020 |
5 | 1102023410010414 |
6 | 25021002030040 |
7 | 2453163152055 |
oct | 424540114710 |
9 | 115762627326 |
10 | 37136406984 |
11 | 14827596246 |
12 | 7244aa8320 |
13 | 366aa1ab21 |
14 | 1b2415202c |
15 | e753d9ca9 |
hex | 8a58099c8 |
37136406984 has 128 divisors (see below), whose sum is σ = 100541952000. Its totient is φ = 11392012800.
The previous prime is 37136406971. The next prime is 37136407001. The reversal of 37136406984 is 48960463173.
It is a super-2 number, since 2×371364069842 (a number of 22 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 4464189 + ... + 4472499.
It is an arithmetic number, because the mean of its divisors is an integer number (785484000).
Almost surely, 237136406984 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 37136406984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270976000).
37136406984 is an abundant number, since it is smaller than the sum of its proper divisors (63405545016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37136406984 is a wasteful number, since it uses less digits than its factorization.
37136406984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8619 (or 8615 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 51.
The spelling of 37136406984 in words is "thirty-seven billion, one hundred thirty-six million, four hundred six thousand, nine hundred eighty-four".
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