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9993091878 = 233711171091297
BaseRepresentation
bin10010100111010001…
…00111101100100110
3221210102202122222000
421103220213230212
5130431212420003
64331334350130
7502431610440
oct112350475446
927712678860
109993091878
114268926920
121b2a7bb346
13c3343c023
146ab285490
153d74961a3
hex253a27b26

9993091878 has 256 divisors, whose sum is σ = 29606860800. Its totient is φ = 2418647040.

The previous prime is 9993091853. The next prime is 9993091897. The reversal of 9993091878 is 8781903999.

9993091878 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9993091878 is a nontrivial binomial coefficient, being equal to C(141373, 2).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7704126 + ... + 7705422.

It is an arithmetic number, because the mean of its divisors is an integer number (115651800).

Almost surely, 29993091878 is an apocalyptic number.

9993091878 is the 141372-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993091878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803430400).

9993091878 is an abundant number, since it is smaller than the sum of its proper divisors (19613768922).

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

9993091878 is a wasteful number, since it uses less digits than its factorization.

9993091878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The square root of 9993091878 is about 99965.4534226700. The cubic root of 9993091878 is about 2153.9384724940.

The spelling of 9993091878 in words is "nine billion, nine hundred ninety-three million, ninety-one thousand, eight hundred seventy-eight".