Base | Representation |
---|---|
bin | 100010100101010010… |
… | …011101101000101110 |
3 | 10112211211221122120020 |
4 | 202211102131220232 |
5 | 1102022000201430 |
6 | 25020353103010 |
7 | 2453120516331 |
oct | 424522355056 |
9 | 115754848506 |
10 | 37132818990 |
11 | 14825565563 |
12 | 7243857a66 |
13 | 366a062957 |
14 | 1b2389a618 |
15 | e74e2bb10 |
hex | 8a549da2e |
37132818990 has 128 divisors (see below), whose sum is σ = 96829489152. Its totient is φ = 9077053440.
The previous prime is 37132818971. The next prime is 37132818997. The reversal of 37132818990 is 9981823173.
It is a super-2 number, since 2×371328189902 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (51).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37132818997) 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 63 ways as a sum of consecutive naturals, for example, 8396980 + ... + 8401400.
It is an arithmetic number, because the mean of its divisors is an integer number (756480384).
Almost surely, 237132818990 is an apocalyptic number.
37132818990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 37132818990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48414744576).
37132818990 is an abundant number, since it is smaller than the sum of its proper divisors (59696670162).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37132818990 is a wasteful number, since it uses less digits than its factorization.
37132818990 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4874.
The product of its (nonzero) digits is 653184, while the sum is 51.
The spelling of 37132818990 in words is "thirty-seven billion, one hundred thirty-two million, eight hundred eighteen thousand, nine hundred ninety".
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