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5120744832 = 2735729811
BaseRepresentation
bin1001100010011100…
…00101110110000000
3111012212120210100000
410301032011312000
540441402313312
62204043200000
7240616420140
oct46116056600
914185523300
105120744832
112198588425
12baab16000
13637b86838
14368132920
151ee857adc
hex131385d80

5120744832 has 384 divisors, whose sum is σ = 18088761600. Its totient is φ = 1410877440.

The previous prime is 5120744819. The next prime is 5120744869. The reversal of 5120744832 is 2384470215.

It is a happy number.

5120744832 is a `hidden beast` number, since 5 + 1 + 207 + 448 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6313707 + ... + 6314517.

It is an arithmetic number, because the mean of its divisors is an integer number (47106150).

Almost surely, 25120744832 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 5120744832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044380800).

5120744832 is an abundant number, since it is smaller than the sum of its proper divisors (12968016768).

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

5120744832 is an equidigital number, since it uses as much as digits as its factorization.

5120744832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5120744832 is about 71559.3797625441. The cubic root of 5120744832 is about 1723.6313256761.

The spelling of 5120744832 in words is "five billion, one hundred twenty million, seven hundred forty-four thousand, eight hundred thirty-two".