Search a number
-
+
463331664114426 = 2331937113181596741
BaseRepresentation
bin110100101011001011100111…
…1010000001011001011111010
32020202112002000022110121112000
41221112113033100023023322
5441212211222003130201
64321231343354001430
7166410415364531112
oct15126271720131372
92222462008417460
10463331664114426
111246a49453a7588
1243b70944a16276
1316b6bcb0813503
14825b52d448042
1538874be873d86
hex1a565cf40b2fa

463331664114426 has 256 divisors, whose sum is σ = 1129165715059200. Its totient is φ = 140321167257600.

The previous prime is 463331664114409. The next prime is 463331664114427. The reversal of 463331664114426 is 624411466133364.

463331664114426 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 3 + 166 + 41 + 14 + 426 = 666.

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 (463331664114427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776138416 + ... + 776735156.

It is an arithmetic number, because the mean of its divisors is an integer number (4410803574450).

Almost surely, 2463331664114426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463331664114426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564582857529600).

463331664114426 is an abundant number, since it is smaller than the sum of its proper divisors (665834050944774).

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

463331664114426 is a wasteful number, since it uses less digits than its factorization.

463331664114426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597102 (or 597096 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 463331664114426 in words is "four hundred sixty-three trillion, three hundred thirty-one billion, six hundred sixty-four million, one hundred fourteen thousand, four hundred twenty-six".