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385516730664 = 233313797432339
BaseRepresentation
bin1011001110000101001…
…01100111100100101000
31100212002022202001112000
411213002211213210220
522304014240340124
6453034241251000
736565315066662
oct5470245474450
91325068661460
10385516730664
1113955116481a
1262870933a60
132a47ab846a0
141493284b532
15a0651546c9
hex59c2967928

385516730664 has 256 divisors, whose sum is σ = 1169925120000. Its totient is φ = 116911372032.

The previous prime is 385516730659. The next prime is 385516730713. The reversal of 385516730664 is 466037615583.

385516730664 is a `hidden beast` number, since 38 + 5 + 516 + 7 + 30 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 385516730664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164820007 + ... + 164822345.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020000).

Almost surely, 2385516730664 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 385516730664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560000).

385516730664 is an abundant number, since it is smaller than the sum of its proper divisors (784408389336).

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

385516730664 is a wasteful number, since it uses less digits than its factorization.

385516730664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 385516730664 in words is "three hundred eighty-five billion, five hundred sixteen million, seven hundred thirty thousand, six hundred sixty-four".