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5357606760 = 23335115367127
BaseRepresentation
bin1001111110101011…
…01001011101101000
3111211101021121211000
410333111221131220
541433021404020
62243344035000
7246523622532
oct47725513550
914741247730
105357606760
1122aa258290
121056302a60
13674c7921c
1438b78c852
15215544090
hex13f569768

5357606760 has 512 divisors, whose sum is σ = 20304691200. Its totient is φ = 1245404160.

The previous prime is 5357606743. The next prime is 5357606767. The reversal of 5357606760 is 676067535.

5357606760 is a `hidden beast` number, since 5 + 3 + 576 + 0 + 6 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5357606767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42185817 + ... + 42185943.

It is an arithmetic number, because the mean of its divisors is an integer number (39657600).

Almost surely, 25357606760 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 5357606760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

5357606760 is an abundant number, since it is smaller than the sum of its proper divisors (14947084440).

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

5357606760 is a wasteful number, since it uses less digits than its factorization.

5357606760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 5357606760 is about 73195.6744623615. The cubic root of 5357606760 is about 1749.8075173330.

The spelling of 5357606760 in words is "five billion, three hundred fifty-seven million, six hundred six thousand, seven hundred sixty".