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468349456136 = 231723181827227
BaseRepresentation
bin1101101000010111100…
…11011000111100001000
31122202220002010111100012
412310023303120330020
530133134430044021
6555053510131052
745560064456302
oct6641363307410
91582802114305
10468349456136
11170698070431
1276929350a88
133521bb34103
141894d8c8972
15c2b217435b
hex6d0bcd8f08

468349456136 has 64 divisors (see below), whose sum is σ = 975599614080. Its totient is φ = 209652157440.

The previous prime is 468349456129. The next prime is 468349456151. The reversal of 468349456136 is 631654943864.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 152555 + ... + 979781.

It is an arithmetic number, because the mean of its divisors is an integer number (15243743970).

Almost surely, 2468349456136 is an apocalyptic number.

468349456136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

468349456136 is an abundant number, since it is smaller than the sum of its proper divisors (507250157944).

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

468349456136 is a wasteful number, since it uses less digits than its factorization.

468349456136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827454 (or 827450 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 59.

The spelling of 468349456136 in words is "four hundred sixty-eight billion, three hundred forty-nine million, four hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 181 184 362 391 724 782 1448 1564 3077 3128 4163 6154 8326 12308 16652 24616 33304 70771 141542 283084 566168 827227 1654454 3308908 6617816 14062859 19026221 28125718 38052442 56251436 76104884 112502872 149728087 152209768 299456174 323445757 598912348 646891514 1197824696 1293783028 2545377479 2587566056 3443746001 5090754958 6887492002 10181509916 13774984004 20363019832 27549968008 58543682017 117087364034 234174728068 468349456136