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96884377348869 = 32114761341342893
BaseRepresentation
bin10110000001110110100110…
…111001010110101100000101
3110201001001111211122000010100
4112001312212321112230011
5100144323201100130434
6542020022444314313
726256444121440615
oct2601664671265405
9421031454560110
1096884377348869
1128963485274380
12aa48a11b42999
13420a208290956
1419cd32c0b2a45
15b302b9537699
hex581da6e56b05

96884377348869 has 48 divisors (see below), whose sum is σ = 158470486596864. Its totient is φ = 56526382915200.

The previous prime is 96884377348861. The next prime is 96884377348879.

It is a happy number.

96884377348869 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 437 + 7 + 34 + 88 + 69 = 666.

96884377348869 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96884377348869 - 23 = 96884377348861 is a prime.

It is a super-2 number, since 2×968843773488692 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96884377348861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170387614 + ... + 170955279.

It is an arithmetic number, because the mean of its divisors is an integer number (3301468470768).

Almost surely, 296884377348869 is an apocalyptic number.

96884377348869 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

96884377348869 is a deficient number, since it is larger than the sum of its proper divisors (61586109247995).

96884377348869 is a wasteful number, since it uses less digits than its factorization.

96884377348869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341343018 (or 341343015 counting only the distinct ones).

The product of its digits is 84276412416, while the sum is 90.

The spelling of 96884377348869 in words is "ninety-six trillion, eight hundred eighty-four billion, three hundred seventy-seven million, three hundred forty-eight thousand, eight hundred sixty-nine".

Divisors: 1 3 9 11 33 47 61 99 141 183 423 517 549 671 1551 2013 2867 4653 6039 8601 25803 31537 94611 283833 341342893 1024028679 3072086037 3754771823 11264315469 16043115971 20821916473 33792946407 48129347913 62465749419 144388043739 176474275681 187397248257 229041081203 529422827043 687123243609 978630074231 1588268481129 2061369730827 2935890222693 8807670668079 10764930816541 32294792449623 96884377348869