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1052786976696 = 23337213173114519
BaseRepresentation
bin11110101000111101111…
…11100110011110111000
310201122102112102200102000
433110132333212132320
5114222101431223241
62123351010341000
7136030020436200
oct17243677463670
93648375380360
101052786976696
11376536890874
1215005428a760
137837b555ab0
1438d52d6b400
151c5bab21eb6
hexf51efe67b8

1052786976696 has 768 divisors, whose sum is σ = 4004453376000. Its totient is φ = 252878008320.

The previous prime is 1052786976671. The next prime is 1052786976743. The reversal of 1052786976696 is 6966796872501.

1052786976696 is a `hidden beast` number, since 1 + 0 + 527 + 8 + 6 + 9 + 7 + 6 + 6 + 96 = 666.

It is a super-2 number, since 2×10527869766962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72503725 + ... + 72518243.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132000).

Almost surely, 21052786976696 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 1052786976696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002226688000).

1052786976696 is an abundant number, since it is smaller than the sum of its proper divisors (2951666399304).

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

1052786976696 is a wasteful number, since it uses less digits than its factorization.

1052786976696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14609 (or 14592 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 1052786976696 in words is "one trillion, fifty-two billion, seven hundred eighty-six million, nine hundred seventy-six thousand, six hundred ninety-six".