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5334314832 = 2433721131739
BaseRepresentation
bin1001111011111001…
…10010111101010000
3111202202110021022000
410331330302331100
541411041033312
62241152514000
7246121633200
oct47574627520
914682407260
105334314832
112298099760
12104a54b900
136701b2612
14388648400
15213492adc
hex13df32f50

5334314832 has 480 divisors, whose sum is σ = 20084428800. Its totient is φ = 1339027200.

The previous prime is 5334314759. The next prime is 5334314837. The reversal of 5334314832 is 2384134335.

5334314832 is a `hidden beast` number, since 5 + 334 + 314 + 8 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334314837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7217919 + ... + 7218657.

It is an arithmetic number, because the mean of its divisors is an integer number (41842560).

Almost surely, 25334314832 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 5334314832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042214400).

5334314832 is an abundant number, since it is smaller than the sum of its proper divisors (14750113968).

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

5334314832 is a wasteful number, since it uses less digits than its factorization.

5334314832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 5334314832 is about 73036.3938868835. The cubic root of 5334314832 is about 1747.2681001563.

The spelling of 5334314832 in words is "five billion, three hundred thirty-four million, three hundred fourteen thousand, eight hundred thirty-two".