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468212262336 = 26327138932621
BaseRepresentation
bin1101101000000111010…
…00000010010111000000
31122202112111222022211100
412310003220002113000
530132344314343321
6555032125414400
745553510364340
oct6640350022700
91582474868740
10468212262336
11170627685725
12768ab40a400
13351c959a150
14189395b4d20
15c2a50c4326
hex6d03a025c0

468212262336 has 168 divisors, whose sum is σ = 1651748999264. Its totient is φ = 123484538880.

The previous prime is 468212262187. The next prime is 468212262341. The reversal of 468212262336 is 633262212864.

468212262336 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 12 + 2 + 623 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 468212262291 and 468212262300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413895 + ... + 4518726.

Almost surely, 2468212262336 is an apocalyptic number.

It is an amenable number.

468212262336 is an abundant number, since it is smaller than the sum of its proper divisors (1183536736928).

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

468212262336 is a wasteful number, since it uses less digits than its factorization.

468212262336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932659 (or 8932646 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 468212262336 in words is "four hundred sixty-eight billion, two hundred twelve million, two hundred sixty-two thousand, three hundred thirty-six".