Base | Representation |
---|---|
bin | 100011111110100101111… |
… | …110101000010000000000 |
3 | 22202100200011120121110000 |
4 | 203332211332220100000 |
5 | 311001424024304012 |
6 | 5131444540240000 |
7 | 343424102336340 |
oct | 43764576502000 |
9 | 8670604517400 |
10 | 2472390853632 |
11 | 8735981aaa47 |
12 | 33b1ba840000 |
13 | 14c1b775283b |
14 | 87942dc6d20 |
15 | 444a4d52ddc |
hex | 23fa5fa8400 |
2472390853632 has 880 divisors, whose sum is σ = 9021450100608. Its totient is φ = 658349752320.
The previous prime is 2472390853601. The next prime is 2472390853633. The reversal of 2472390853632 is 2363580932742.
It is a happy number.
2472390853632 is a `hidden beast` number, since 2 + 4 + 72 + 3 + 9 + 0 + 8 + 536 + 32 = 666.
It is a super-2 number, since 2×24723908536322 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (2472390853633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1056124782 + ... + 1056127122.
Almost surely, 22472390853632 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 2472390853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510725050304).
2472390853632 is an abundant number, since it is smaller than the sum of its proper divisors (6549059246976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2472390853632 is a wasteful number, since it uses less digits than its factorization.
2472390853632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2504 (or 2477 counting only the distinct ones).
The product of its (nonzero) digits is 13063680, while the sum is 54.
The spelling of 2472390853632 in words is "two trillion, four hundred seventy-two billion, three hundred ninety million, eight hundred fifty-three thousand, six hundred thirty-two".
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