Search a number
-
+
463115272896 = 2632941854431
BaseRepresentation
bin1101011110100111101…
…00100100001011000000
31122021101022002102202200
412233103310210023000
530041430002213041
6552430251313200
745313266603663
oct6572364441300
91567338072680
10463115272896
11169451553061
127590844b800
1334896610173
14185b46a76da
15c0a78b01b6
hex6bd3d242c0

463115272896 has 84 divisors (see below), whose sum is σ = 1328848532544. Its totient is φ = 154207526400.

The previous prime is 463115272891. The next prime is 463115272897. The reversal of 463115272896 is 698272511364.

It is a happy number.

463115272896 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 1 + 527 + 28 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (463115272891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114801 + ... + 969231.

Almost surely, 2463115272896 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 463115272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664424266272).

463115272896 is an abundant number, since it is smaller than the sum of its proper divisors (865733259648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463115272896 is a wasteful number, since it uses less digits than its factorization.

463115272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855390 (or 855377 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 463115272896 in words is "four hundred sixty-three billion, one hundred fifteen million, two hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 941 1882 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 60224 67752 90336 135504 180672 271008 542016 854431 1708862 2563293 3417724 5126586 6835448 7689879 10253172 13670896 15379758 20506344 27341792 30759516 41012688 54683584 61519032 82025376 123038064 164050752 246076128 492152256 804019571 1608039142 2412058713 3216078284 4824117426 6432156568 7236176139 9648234852 12864313136 14472352278 19296469704 25728626272 28944704556 38592939408 51457252544 57889409112 77185878816 115778818224 154371757632 231557636448 463115272896