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6400704492 = 22327132989757
BaseRepresentation
bin1011111011000001…
…01111111111101100
3121112002001110220100
411331200233333230
5101102040020432
62535045151100
7314421043020
oct57540577754
917462043810
106400704492
112795038026
1212a76bb490
137b00c5c10
1444a118380
15276dda07c
hex17d82ffec

6400704492 has 288 divisors, whose sum is σ = 20858947200. Its totient is φ = 1609445376.

The previous prime is 6400704487. The next prime is 6400704533. The reversal of 6400704492 is 2944070046.

6400704492 is a `hidden beast` number, since 640 + 0 + 7 + 0 + 4 + 4 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8454978 + ... + 8455734.

It is an arithmetic number, because the mean of its divisors is an integer number (72426900).

Almost surely, 26400704492 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 6400704492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429473600).

6400704492 is an abundant number, since it is smaller than the sum of its proper divisors (14458242708).

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

6400704492 is a wasteful number, since it uses less digits than its factorization.

6400704492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6400704492 is about 80004.4029538375. The cubic root of 6400704492 is about 1856.7036551581.

The spelling of 6400704492 in words is "six billion, four hundred million, seven hundred four thousand, four hundred ninety-two".