Base | Representation |
---|---|
bin | 100010011111111000… |
… | …011010101110100000 |
3 | 10112121112020220201000 |
4 | 202133320122232200 |
5 | 1101330234331443 |
6 | 25003352512000 |
7 | 2450636461641 |
oct | 423770325640 |
9 | 115545226630 |
10 | 37042105248 |
11 | 14789336a25 |
12 | 72193ab600 |
13 | 3654320b95 |
14 | 1b158056c8 |
15 | e6bead8d3 |
hex | 89fe1aba0 |
37042105248 has 48 divisors (see below), whose sum is σ = 108039476160. Its totient is φ = 12347368128.
The previous prime is 37042105241. The next prime is 37042105277. The reversal of 37042105248 is 84250124073.
It is a happy number.
37042105248 is a `hidden beast` number, since 370 + 42 + 1 + 0 + 5 + 248 = 666.
37042105248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×370421052482 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (37042105241) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21435540 + ... + 21437267.
It is an arithmetic number, because the mean of its divisors is an integer number (2250822420).
Almost surely, 237042105248 is an apocalyptic number.
It is an amenable number.
37042105248 is an abundant number, since it is smaller than the sum of its proper divisors (70997370912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37042105248 is a wasteful number, since it uses less digits than its factorization.
37042105248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42872826 (or 42872812 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The spelling of 37042105248 in words is "thirty-seven billion, forty-two million, one hundred five thousand, two hundred forty-eight".
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