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5356606464 = 210351119103
BaseRepresentation
bin1001111110100011…
…10101010000000000
3111211022101210200000
410333101311100000
541432242401324
62243310400000
7246512255316
oct47721652000
914738353600
105356606464
1122a97347a0
121055b00000
136749b8b31
1438b5ac0b6
152153e79c9
hex13f475400

5356606464 has 528 divisors, whose sum is σ = 18597895680. Its totient is φ = 1522851840.

The previous prime is 5356606447. The next prime is 5356606469. The reversal of 5356606464 is 4646066535.

5356606464 is a `hidden beast` number, since 5 + 35 + 6 + 606 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5356606469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52005837 + ... + 52005939.

Almost surely, 25356606464 is an apocalyptic number.

5356606464 is a gapful number since it is divisible by the number (54) 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 5356606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298947840).

5356606464 is an abundant number, since it is smaller than the sum of its proper divisors (13241289216).

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

5356606464 is a wasteful number, since it uses less digits than its factorization.

5356606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The square root of 5356606464 is about 73188.8411166620. The cubic root of 5356606464 is about 1749.6986108453.

The spelling of 5356606464 in words is "five billion, three hundred fifty-six million, six hundred six thousand, four hundred sixty-four".