Search a number
-
+
116353940952942 = 2327112310736179431
BaseRepresentation
bin11010011101001011000011…
…010100011001011101101110
3120020222022212012102200111100
4122131023003110121131232
5110222320332340443232
61051244132413503530
733336203060505030
oct3235130324313556
9506868765380440
10116353940952942
113408a47a3661a0
121107220b4a1ba6
134cc018b818c94
1420a37bcb45c50
15d6b9766adc7c
hex69d2c351976e

116353940952942 has 384 divisors, whose sum is σ = 331164055093248. Its totient is φ = 28626691737600.

The previous prime is 116353940952937. The next prime is 116353940952959. The reversal of 116353940952942 is 249259049353611.

116353940952942 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 539 + 4 + 0 + 9 + 5 + 2 + 94 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116353940952942.

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, 12337386967 + ... + 12337396397.

It is an arithmetic number, because the mean of its divisors is an integer number (862406393472).

Almost surely, 2116353940952942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116353940952942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582027546624).

116353940952942 is an abundant number, since it is smaller than the sum of its proper divisors (214810114140306).

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

116353940952942 is a wasteful number, since it uses less digits than its factorization.

116353940952942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 116353940952942 in words is "one hundred sixteen trillion, three hundred fifty-three billion, nine hundred forty million, nine hundred fifty-two thousand, nine hundred forty-two".