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2960498016 = 2532731127373
BaseRepresentation
bin1011000001110101…
…1001110101100000
321122022200212210200
42300131121311200
522030341414031
61205433425200
7133235550360
oct26035316540
97568625720
102960498016
11128a13aa83
126a756b200
13382463598
142012829a0
15124d8e8e6
hexb0759d60

2960498016 has 288 divisors, whose sum is σ = 10037035008. Its totient is φ = 809948160.

The previous prime is 2960497999. The next prime is 2960498017. The reversal of 2960498016 is 6108940692.

It is a happy number.

2960498016 is a `hidden beast` number, since 29 + 604 + 9 + 8 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960498017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936806 + ... + 7937178.

It is an arithmetic number, because the mean of its divisors is an integer number (34850816).

Almost surely, 22960498016 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 2960498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018517504).

2960498016 is an abundant number, since it is smaller than the sum of its proper divisors (7076536992).

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

2960498016 is a wasteful number, since it uses less digits than its factorization.

2960498016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

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

The square root of 2960498016 is about 54410.4587005109. The cubic root of 2960498016 is about 1435.8913903109.

The spelling of 2960498016 in words is "two billion, nine hundred sixty million, four hundred ninety-eight thousand, sixteen".