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5219532000 = 253353311559
BaseRepresentation
bin1001101110001101…
…11011110011100000
3111110202110200212000
410313012323303200
541142200011000
62221532404000
7243226201314
oct46706736340
914422420760
105219532000
112239320711
121018016600
13652494297
143772c9b44
1520836d000
hex1371bbce0

5219532000 has 384 divisors, whose sum is σ = 19624550400. Its totient is φ = 1346112000.

The previous prime is 5219531963. The next prime is 5219532001. The reversal of 5219532000 is 2359125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219532001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347221 + ... + 3348779.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 25219532000 is an apocalyptic number.

5219532000 is a gapful number since it is divisible by the number (50) 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 5219532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

5219532000 is an abundant number, since it is smaller than the sum of its proper divisors (14405018400).

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

5219532000 is a wasteful number, since it uses less digits than its factorization.

5219532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5219532000 is about 72246.3286264430. The cubic root of 5219532000 is about 1734.6446520109.

The spelling of 5219532000 in words is "five billion, two hundred nineteen million, five hundred thirty-two thousand".