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5357514240 = 293251331577
BaseRepresentation
bin1001111110101010…
…10010111000000000
3111211101002220220100
410333111102320000
541433010423430
62243342042400
7246523056021
oct47725227000
914741086810
105357514240
1122aa1a4821
121056279400
13674c46090
1438b766c48
15215526960
hex13f552e00

5357514240 has 480 divisors, whose sum is σ = 20662177536. Its totient is φ = 1274019840.

The previous prime is 5357514187. The next prime is 5357514251. The reversal of 5357514240 is 424157535.

5357514240 is a `hidden beast` number, since 5 + 3 + 575 + 1 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 5357514195 and 5357514204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284832 + ... + 9285408.

Almost surely, 25357514240 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 5357514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331088768).

5357514240 is an abundant number, since it is smaller than the sum of its proper divisors (15304663296).

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

5357514240 is a wasteful number, since it uses less digits than its factorization.

5357514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5357514240 is about 73195.0424550734. The cubic root of 5357514240 is about 1749.7974448553.

The spelling of 5357514240 in words is "five billion, three hundred fifty-seven million, five hundred fourteen thousand, two hundred forty".