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195069419424 = 253311671132711
BaseRepresentation
bin1011010110101100001…
…0110001111110100000
3200122111201112020111000
42311223002301332200
511144000232410144
6225340314352000
720044000464345
oct2655302617640
9618451466430
10195069419424
1175801669020
123198042b600
1315519987a89
1496273307cc
15511a681769
hex2d6b0b1fa0

195069419424 has 384 divisors, whose sum is σ = 635748341760. Its totient is φ = 57693081600.

The previous prime is 195069419333. The next prime is 195069419429. The reversal of 195069419424 is 424914960591.

195069419424 is a `hidden beast` number, since 1 + 9 + 506 + 9 + 41 + 94 + 2 + 4 = 666.

195069419424 is digitally balanced in base 2, 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 not an unprimeable number, because it can be changed into a prime (195069419429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71953429 + ... + 71956139.

It is an arithmetic number, because the mean of its divisors is an integer number (1655594640).

Almost surely, 2195069419424 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 195069419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317874170880).

195069419424 is an abundant number, since it is smaller than the sum of its proper divisors (440678922336).

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

195069419424 is a wasteful number, since it uses less digits than its factorization.

195069419424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 195069419424 in words is "one hundred ninety-five billion, sixty-nine million, four hundred nineteen thousand, four hundred twenty-four".