Base | Representation |
---|---|
bin | 100010101010101111… |
… | …011011111001000000 |
3 | 10120002020002101001100 |
4 | 202222233123321000 |
5 | 1102213410100341 |
6 | 25033421534400 |
7 | 2455311221154 |
oct | 425257337100 |
9 | 116066071040 |
10 | 37224300096 |
11 | 14872168685 |
12 | 726a414400 |
13 | 3682cb2a99 |
14 | 1b31ab1064 |
15 | e7ce9c3b6 |
hex | 8aabdbe40 |
37224300096 has 63 divisors (see below), whose sum is σ = 106710009211. Its totient is φ = 12406556544.
The previous prime is 37224300083. The next prime is 37224300097. The reversal of 37224300096 is 69000342273.
It is a happy number.
The square root of 37224300096 is 192936.
It is a perfect power (a square), and thus also a powerful number.
37224300096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 37224300096.
It is not an unprimeable number, because it can be changed into a prime (37224300097) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4626445 + ... + 4634483.
Almost surely, 237224300096 is an apocalyptic number.
37224300096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
37224300096 is the 192936-th square number.
It is an amenable number.
37224300096 is an abundant number, since it is smaller than the sum of its proper divisors (69485709115).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37224300096 is an frugal number, since it uses more digits than its factorization.
37224300096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16096 (or 8044 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
Multiplying 37224300096 by its sum of digits (36), we get a square (1340074803456 = 11576162).
37224300096 divided by its sum of digits (36) gives a square (1034008336 = 321562).
The spelling of 37224300096 in words is "thirty-seven billion, two hundred twenty-four million, three hundred thousand, ninety-six".
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