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5362611072 = 2737131941197
BaseRepresentation
bin1001111111010001…
…01111001110000000
3111211201200212102220
410333220233032000
541440312023242
62244043211040
7246614304420
oct47750571600
914751625386
105362611072
112302066085
121057b16a80
1367600bc60
1438c2d2480
15215bd1bec
hex13fa2f380

5362611072 has 512 divisors, whose sum is σ = 19000396800. Its totient is φ = 1300561920.

The previous prime is 5362611061. The next prime is 5362611083. The reversal of 5362611072 is 2701162635.

It is an interprime number because it is at equal distance from previous prime (5362611061) and next prime (5362611083).

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 63 ways as a sum of consecutive naturals, for example, 27221278 + ... + 27221474.

It is an arithmetic number, because the mean of its divisors is an integer number (37110150).

Almost surely, 25362611072 is an apocalyptic number.

5362611072 is a gapful number since it is divisible by the number (52) 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 5362611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500198400).

5362611072 is an abundant number, since it is smaller than the sum of its proper divisors (13637785728).

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

5362611072 is a wasteful number, since it uses less digits than its factorization.

5362611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5362611072 is about 73229.8509625685. The cubic root of 5362611072 is about 1750.3521546545.

The spelling of 5362611072 in words is "five billion, three hundred sixty-two million, six hundred eleven thousand, seventy-two".