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168936430464 = 273637167293
BaseRepresentation
bin1001110101010101100…
…1010101101110000000
3121011001110200212000000
42131111121111232000
510231440211233324
6205335222000000
715130254652224
oct2352531255600
9534043625000
10168936430464
116571123568a
12288a8576000
1312c137c02b9
1482686dc784
1545db2ad9c9
hex2755655b80

168936430464 has 448 divisors, whose sum is σ = 523119068640. Its totient is φ = 54276231168.

The previous prime is 168936430423. The next prime is 168936430477. The reversal of 168936430464 is 464034639861.

It is a happy number.

168936430464 is a `hidden beast` number, since 1 + 6 + 8 + 93 + 64 + 30 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 168936430464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 576574702 + ... + 576574994.

Almost surely, 2168936430464 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 168936430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261559534320).

168936430464 is an abundant number, since it is smaller than the sum of its proper divisors (354182638176).

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

168936430464 is an equidigital number, since it uses as much as digits as its factorization.

168936430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 168936430464 in words is "one hundred sixty-eight billion, nine hundred thirty-six million, four hundred thirty thousand, four hundred sixty-four".