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4812050880 = 2632572134361
BaseRepresentation
bin1000111101101001…
…00001000111000000
3110102100201111211200
410132310201013000
534323341112010
62113254541200
7230150520600
oct43664410700
913370644750
104812050880
11204a30605a
12b23667800
135b8c337b0
14339138c00
151d26cccc0
hex11ed211c0

4812050880 has 1008 divisors, whose sum is σ = 21564807264. Its totient is φ = 975421440.

The previous prime is 4812050863. The next prime is 4812050899. The reversal of 4812050880 is 880502184.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78886050 + ... + 78886110.

It is an arithmetic number, because the mean of its divisors is an integer number (21393658).

Almost surely, 24812050880 is an apocalyptic number.

4812050880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782403632).

4812050880 is an abundant number, since it is smaller than the sum of its proper divisors (16752756384).

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

4812050880 is a wasteful number, since it uses less digits than its factorization.

4812050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4812050880 is about 69368.9475197656. The cubic root of 4812050880 is about 1688.2758322258.

The spelling of 4812050880 in words is "four billion, eight hundred twelve million, fifty thousand, eight hundred eighty".