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116699669839584 = 253213175869312407
BaseRepresentation
bin11010100010001101000010…
…010111011011111011100000
3120022012101020122022211210200
4122202031002113123323200
5110244001410434331314
61052111031015425200
733403162415530536
oct3242150227337340
9508171218284720
10116699669839584
11342030632a7897
1211109217385200
1350169685703a0
1420b6419250156
15d7595d787709
hex6a23425dbee0

116699669839584 has 288 divisors, whose sum is σ = 378481529724480. Its totient is φ = 33789513056256.

The previous prime is 116699669839549. The next prime is 116699669839609. The reversal of 116699669839584 is 485938966996611.

116699669839584 is a `hidden beast` number, since 1 + 16 + 6 + 9 + 9 + 6 + 6 + 9 + 8 + 3 + 9 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 116699669839494 and 116699669839503.

It is a congruent number.

It is an unprimeable number.

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, 373393909 + ... + 373706315.

It is an arithmetic number, because the mean of its divisors is an integer number (1314171978210).

Almost surely, 2116699669839584 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 116699669839584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189240764862240).

116699669839584 is an abundant number, since it is smaller than the sum of its proper divisors (261781859884896).

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

116699669839584 is a wasteful number, since it uses less digits than its factorization.

116699669839584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318322 (or 318311 counting only the distinct ones).

The product of its digits is 32651735040, while the sum is 90.

The spelling of 116699669839584 in words is "one hundred sixteen trillion, six hundred ninety-nine billion, six hundred sixty-nine million, eight hundred thirty-nine thousand, five hundred eighty-four".