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49102308864 = 29347273331
BaseRepresentation
bin101101101110101110…
…011100011000000000
311200202000122201220000
4231232232130120000
51301030142340424
634320212520000
73355541511300
oct555656343000
9150660581800
1049102308864
1119907a78454
129624320000
134826aa423b
14253b415600
151425b723c9
hexb6eb9c600

49102308864 has 600 divisors, whose sum is σ = 173342742408. Its totient is φ = 13795246080.

The previous prime is 49102308809. The next prime is 49102308869. The reversal of 49102308864 is 46880320194.

It is a happy number.

49102308864 is a `hidden beast` number, since 491 + 0 + 23 + 0 + 88 + 64 = 666.

It is a super-2 number, since 2×491023088642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49102308869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 148345179 + ... + 148345509.

Almost surely, 249102308864 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 49102308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86671371204).

49102308864 is an abundant number, since it is smaller than the sum of its proper divisors (124240433544).

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

49102308864 is an equidigital number, since it uses as much as digits as its factorization.

49102308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 49102308864 in words is "forty-nine billion, one hundred two million, three hundred eight thousand, eight hundred sixty-four".