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490846690620 = 22335112133531637
BaseRepresentation
bin1110010010010001011…
…11100001110100111100
31201220221221122102022000
413021020233201310330
531020223223044440
61013254124022300
750314432013226
oct7111057416474
91656857572260
10490846690620
1117a192184700
127b167691990
13373959b0490
1419a85701416
15cb7c271730
hex7248be1d3c

490846690620 has 576 divisors, whose sum is σ = 1813869832320. Its totient is φ = 109461749760.

The previous prime is 490846690613. The next prime is 490846690627. The reversal of 490846690620 is 26096648094.

490846690620 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 4 + 6 + 6 + 9 + 0 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (490846690613) and next prime (490846690627).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (490846690627) 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, 299844442 + ... + 299846078.

It is an arithmetic number, because the mean of its divisors is an integer number (3149079570).

Almost surely, 2490846690620 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 490846690620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906934916160).

490846690620 is an abundant number, since it is smaller than the sum of its proper divisors (1323023141700).

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

490846690620 is a wasteful number, since it uses less digits than its factorization.

490846690620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 490846690620 in words is "four hundred ninety billion, eight hundred forty-six million, six hundred ninety thousand, six hundred twenty".