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5348077056 = 29337173251
BaseRepresentation
bin1001111101100010…
…10010111000000000
3111210201100110112000
410332301102320000
541423101431211
62242403504000
7246346622250
oct47661227000
914721313460
105348077056
1122a49394a3
121053088000
13672cc074a
1438a3cb960
152147b0656
hex13ec52e00

5348077056 has 320 divisors, whose sum is σ = 19162344960. Its totient is φ = 1437696000.

The previous prime is 5348077019. The next prime is 5348077069. The reversal of 5348077056 is 6507708435.

5348077056 is a `hidden beast` number, since 53 + 480 + 7 + 70 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643431 + ... + 1646681.

It is an arithmetic number, because the mean of its divisors is an integer number (59882328).

Almost surely, 25348077056 is an apocalyptic number.

5348077056 is a gapful number since it is divisible by the number (56) 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 5348077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581172480).

5348077056 is an abundant number, since it is smaller than the sum of its proper divisors (13814267904).

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

5348077056 is a wasteful number, since it uses less digits than its factorization.

5348077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5348077056 is about 73130.5480356875. The cubic root of 5348077056 is about 1748.7694266920.

The spelling of 5348077056 in words is "five billion, three hundred forty-eight million, seventy-seven thousand, fifty-six".