Search a number
-
+
496132891020 = 22375132411637
BaseRepresentation
bin1110011100000111101…
…00110010000110001100
31202102121100120020000000
413032003310302012030
531112040010003040
61015530441404300
750562430664214
oct7160364620614
91672540506000
10496132891020
111814550a0268
12801a1a99690
1337a28c17a00
141a0277c3244
15cd8b3ad130
hex7383d3218c

496132891020 has 576 divisors, whose sum is σ = 1734352663680. Its totient is φ = 119073576960.

The previous prime is 496132890977. The next prime is 496132891021. The reversal of 496132891020 is 20198231694.

496132891020 is a `hidden beast` number, since 4 + 9 + 613 + 2 + 8 + 9 + 1 + 0 + 20 = 666.

It is a super-2 number, since 2×4961328910202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (496132891021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303073642 + ... + 303075278.

It is an arithmetic number, because the mean of its divisors is an integer number (3011028930).

Almost surely, 2496132891020 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 496132891020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867176331840).

496132891020 is an abundant number, since it is smaller than the sum of its proper divisors (1238219772660).

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

496132891020 is a wasteful number, since it uses less digits than its factorization.

496132891020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 496132891020 in words is "four hundred ninety-six billion, one hundred thirty-two million, eight hundred ninety-one thousand, twenty".