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5693485004064 = 253211131741241823
BaseRepresentation
bin101001011011001111000…
…1001101011010100100000
3202011021212202111102212100
41102312132021223110200
51221240224130112224
620035314554530400
71125224603015334
oct122663611532440
922137782442770
105693485004064
1118a56589462a0
1277b528736a00
13323b7c85c810
141597cd7017c4
159d179864ac9
hex52d9e26b520

5693485004064 has 1152 divisors, whose sum is σ = 20742330825216. Its totient is φ = 1454505984000.

The previous prime is 5693485004059. The next prime is 5693485004069. The reversal of 5693485004064 is 4604005843965.

5693485004064 is a `hidden beast` number, since 5 + 6 + 9 + 34 + 8 + 500 + 40 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5693485004059) and next prime (5693485004069).

It is a self number, because there is not a number n which added to its sum of digits gives 5693485004064.

It is not an unprimeable number, because it can be changed into a prime (5693485004069) 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, 6917964357 + ... + 6917965179.

It is an arithmetic number, because the mean of its divisors is an integer number (18005495508).

Almost surely, 25693485004064 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 5693485004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371165412608).

5693485004064 is an abundant number, since it is smaller than the sum of its proper divisors (15048845821152).

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

5693485004064 is a wasteful number, since it uses less digits than its factorization.

5693485004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 5693485004064 in words is "five trillion, six hundred ninety-three billion, four hundred eighty-five million, four thousand, sixty-four".