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5342990688 = 25357103953
BaseRepresentation
bin1001111100111011…
…11001000101100000
3111210100210001100000
410332131321011200
541420301200223
62242102500000
7246255446220
oct47635710540
914710701300
105342990688
1122a1a84a92
121051434600
13671c2c569
14389866080
15214108543
hex13e779160

5342990688 has 288 divisors, whose sum is σ = 18201770496. Its totient is φ = 1510161408.

The previous prime is 5342990683. The next prime is 5342990699. The reversal of 5342990688 is 8860992435.

5342990688 is a `hidden beast` number, since 53 + 429 + 90 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342990683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5606020 + ... + 5606972.

It is an arithmetic number, because the mean of its divisors is an integer number (63200592).

Almost surely, 25342990688 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 5342990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100885248).

5342990688 is an abundant number, since it is smaller than the sum of its proper divisors (12858779808).

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

5342990688 is a wasteful number, since it uses less digits than its factorization.

5342990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 5342990688 is about 73095.7638170640. The cubic root of 5342990688 is about 1748.2148531434.

The spelling of 5342990688 in words is "five billion, three hundred forty-two million, nine hundred ninety thousand, six hundred eighty-eight".