Base | Representation |
---|---|
bin | 110100101110000100110010… |
… | …0000010001001000000000000 |
3 | 2020210221002101001022220001000 |
4 | 1221130021210002021000000 |
5 | 441240220100042404442 |
6 | 4322134144223412000 |
7 | 166451223166336650 |
oct | 15134114402110000 |
9 | 2223832331286030 |
10 | 463729297231872 |
11 | 124838543986aa1 |
12 | 44015a17454000 |
13 | 16b9a63c98cb19 |
14 | 827289112c360 |
15 | 38929e3588d4c |
hex | 1a5c264089000 |
463729297231872 has 3328 divisors, whose sum is σ = 1763737053603840. Its totient is φ = 117413668454400.
The previous prime is 463729297231847. The next prime is 463729297231877. The reversal of 463729297231872 is 278132792927364.
463729297231872 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 29 + 297 + 231 + 87 + 2 = 666.
It is a super-2 number, since 2×4637292972318722 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 463729297231872.
It is not an unprimeable number, because it can be changed into a prime (463729297231877) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2402742472608 + ... + 2402742472800.
Almost surely, 2463729297231872 is an apocalyptic number.
463729297231872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 463729297231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881868526801920).
463729297231872 is an abundant number, since it is smaller than the sum of its proper divisors (1300007756371968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
463729297231872 is a wasteful number, since it uses less digits than its factorization.
463729297231872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 425 (or 397 counting only the distinct ones).
The product of its digits is 768144384, while the sum is 72.
The spelling of 463729297231872 in words is "four hundred sixty-three trillion, seven hundred twenty-nine billion, two hundred ninety-seven million, two hundred thirty-one thousand, eight hundred seventy-two".
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