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5352302133864 = 233271731432112221
BaseRepresentation
bin100110111100010111000…
…0100010100001001101000
3200221200020010201211202100
41031320232010110021220
51200143003321240424
615214451425533400
71061456015330010
oct115705604241150
920850203654670
105352302133864
111783998025084
1272538b1a4260
132ca9488a407a
141470a4c80c40
159435b918dc9
hex4de2e114268

5352302133864 has 768 divisors, whose sum is σ = 18624287784960. Its totient is φ = 1353397248000.

The previous prime is 5352302133859. The next prime is 5352302133869. The reversal of 5352302133864 is 4683312032535.

5352302133864 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 302 + 1 + 338 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5352302133859) and next prime (5352302133869).

It is not an unprimeable number, because it can be changed into a prime (5352302133869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2409860274 + ... + 2409862494.

It is an arithmetic number, because the mean of its divisors is an integer number (24250374720).

Almost surely, 25352302133864 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 5352302133864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312143892480).

5352302133864 is an abundant number, since it is smaller than the sum of its proper divisors (13271985651096).

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

5352302133864 is a wasteful number, since it uses less digits than its factorization.

5352302133864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2535 counting only the distinct ones).

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

The spelling of 5352302133864 in words is "five trillion, three hundred fifty-two billion, three hundred two million, one hundred thirty-three thousand, eight hundred sixty-four".