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5341040640 = 21233513743
BaseRepresentation
bin1001111100101100…
…11101000000000000
3111210020002222101000
410332112131000000
541414301300030
62241553012000
7246233045025
oct47626350000
914706088330
105341040640
1122a0972981
121050854000
136716c8aa0
143894b954c
15213d70860
hex13e59d000

5341040640 has 416 divisors, whose sum is σ = 20476189440. Its totient is φ = 1312948224.

The previous prime is 5341040633. The next prime is 5341040641. The reversal of 5341040640 is 460401435.

5341040640 is a `hidden beast` number, since 5 + 3 + 4 + 10 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341040641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188109 + ... + 7188851.

Almost surely, 25341040640 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 5341040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238094720).

5341040640 is an abundant number, since it is smaller than the sum of its proper divisors (15135148800).

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

5341040640 is a wasteful number, since it uses less digits than its factorization.

5341040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5341040640 is about 73082.4236051323. The cubic root of 5341040640 is about 1748.0021434517.

The spelling of 5341040640 in words is "five billion, three hundred forty-one million, forty thousand, six hundred forty".