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194955913152 = 263371113412749
BaseRepresentation
bin1011010110010001000…
…1110010011111000000
3200122012210221112011000
42311210101302133000
511143232203210102
6225321141452000
720041121630310
oct2654421623700
9618183845130
10194955913152
1175753592090
123194a411000
13154cc2c57c0
149616225440
15511071001c
hex2d644727c0

194955913152 has 896 divisors, whose sum is σ = 788578560000. Its totient is φ = 45586022400.

The previous prime is 194955913133. The next prime is 194955913153. The reversal of 194955913152 is 251319559491.

194955913152 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 559 + 1 + 31 + 52 = 666.

194955913152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194955913153) by changing a digit.

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, 70917474 + ... + 70920222.

It is an arithmetic number, because the mean of its divisors is an integer number (880110000).

Almost surely, 2194955913152 is an apocalyptic number.

194955913152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194955913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394289280000).

194955913152 is an abundant number, since it is smaller than the sum of its proper divisors (593622646848).

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

194955913152 is a wasteful number, since it uses less digits than its factorization.

194955913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2826 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The spelling of 194955913152 in words is "one hundred ninety-four billion, nine hundred fifty-five million, nine hundred thirteen thousand, one hundred fifty-two".