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5362993152 = 21134112939
BaseRepresentation
bin1001111111010100…
…01100100000000000
3111211202102021120000
410333222030200000
541440411240102
62244055320000
7246620455356
oct47752144000
914752367500
105362993152
1123022a7150
121058080000
13676113b3a
1438c3917d6
15215c5a01c
hex13fa8c800

5362993152 has 240 divisors, whose sum is σ = 17481063600. Its totient is φ = 1624596480.

The previous prime is 5362993127. The next prime is 5362993159. The reversal of 5362993152 is 2513992635.

5362993152 is a `hidden beast` number, since 5 + 3 + 629 + 9 + 3 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5362993098 and 5362993107.

It is not an unprimeable number, because it can be changed into a prime (5362993159) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1823299 + ... + 1826237.

It is an arithmetic number, because the mean of its divisors is an integer number (72837765).

Almost surely, 25362993152 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 5362993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740531800).

5362993152 is an abundant number, since it is smaller than the sum of its proper divisors (12118070448).

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

5362993152 is a wasteful number, since it uses less digits than its factorization.

5362993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2955 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 5362993152 is about 73232.4596883103. The cubic root of 5362993152 is about 1750.3937238739.

The spelling of 5362993152 in words is "five billion, three hundred sixty-two million, nine hundred ninety-three thousand, one hundred fifty-two".