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49990086900 = 223352132967733
BaseRepresentation
bin101110100011101001…
…000011000011110100
311210000220011112102000
4232203221003003310
51304334430240100
634544245015300
73416541504405
oct564351030364
9153026145360
1049990086900
111a223112206
1298316b4530
1349389ab8a0
1425c32ad9ac
151478a87900
hexba3a430f4

49990086900 has 576 divisors, whose sum is σ = 181959187200. Its totient is φ = 11687639040.

The previous prime is 49990086893. The next prime is 49990086953. The reversal of 49990086900 is 968009994.

It is a happy number.

49990086900 is a `hidden beast` number, since 499 + 90 + 0 + 8 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×499900869002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 68198934 + ... + 68199666.

Almost surely, 249990086900 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 49990086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979593600).

49990086900 is an abundant number, since it is smaller than the sum of its proper divisors (131969100300).

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

49990086900 is a wasteful number, since it uses less digits than its factorization.

49990086900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 49990086900 in words is "forty-nine billion, nine hundred ninety million, eighty-six thousand, nine hundred".