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827765116764 = 2231729139919729
BaseRepresentation
bin11000000101110101010…
…01010100111101011100
32221010121101002210220120
430002322221110331130
5102030230332214024
61432134155114540
7113542535254215
oct14027251247534
92833541083816
10827765116764
1129a064912993
12114514a42a50
136009a318551
142c0c7a5240c
15167eab0d479
hexc0baa54f5c

827765116764 has 48 divisors (see below), whose sum is σ = 2115586317600. Its totient is φ = 250736152576.

The previous prime is 827765116723. The next prime is 827765116769. The reversal of 827765116764 is 467611567728.

827765116764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 827765116698 and 827765116707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827765116769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69953949 + ... + 69965780.

It is an arithmetic number, because the mean of its divisors is an integer number (44074714950).

Almost surely, 2827765116764 is an apocalyptic number.

It is an amenable number.

827765116764 is an abundant number, since it is smaller than the sum of its proper divisors (1287821200836).

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

827765116764 is a wasteful number, since it uses less digits than its factorization.

827765116764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139919782 (or 139919780 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 827765116764 in words is "eight hundred twenty-seven billion, seven hundred sixty-five million, one hundred sixteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 139919729 279839458 419759187 559678916 839518374 1679036748 2378635393 4057672141 4757270786 7135906179 8115344282 9514541572 12173016423 14271812358 16230688564 24346032846 28543624716 48692065692 68980426397 137960852794 206941279191 275921705588 413882558382 827765116764