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6985091120 = 2457231471223
BaseRepresentation
bin1101000000101100…
…00000100000110000
3200000210200101122112
412200112000200300
5103301140403440
63113042424452
7335045203100
oct64026004060
920023611575
106985091120
112a649a1387
12142b362128
138741b5c17
144a3999200
152ad371965
hex1a0580830

6985091120 has 240 divisors, whose sum is σ = 19932438528. Its totient is φ = 2266467840.

The previous prime is 6985091111. The next prime is 6985091123. The reversal of 6985091120 is 211905896.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6985091123) 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, 5710829 + ... + 5712051.

Almost surely, 26985091120 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 6985091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966219264).

6985091120 is an abundant number, since it is smaller than the sum of its proper divisors (12947347408).

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

6985091120 is a wasteful number, since it uses less digits than its factorization.

6985091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 6985091120 is about 83576.8575623659. The cubic root of 6985091120 is about 1911.5721383494.

The spelling of 6985091120 in words is "six billion, nine hundred eighty-five million, ninety-one thousand, one hundred twenty".