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6989790720 = 2935111731157
BaseRepresentation
bin1101000001001111…
…11011111000000000
3200001010112011021210
412200213323320000
5103303341300340
63113331250120
7335133145413
oct64047737000
920033464253
106989790720
112a67611250
121430a49940
13875170053
144a445db7a
152ad99e180
hex1a09fbe00

6989790720 has 640 divisors, whose sum is σ = 26813140992. Its totient is φ = 1533542400.

The previous prime is 6989790667. The next prime is 6989790763. The reversal of 6989790720 is 270979896.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×69897907203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44520882 + ... + 44521038.

Almost surely, 26989790720 is an apocalyptic number.

6989790720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6989790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406570496).

6989790720 is an abundant number, since it is smaller than the sum of its proper divisors (19823350272).

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

6989790720 is a wasteful number, since it uses less digits than its factorization.

6989790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 6989790720 is about 83604.9682734226. The cubic root of 6989790720 is about 1912.0007469521. Note that the first 3 decimals are identical.

The spelling of 6989790720 in words is "six billion, nine hundred eighty-nine million, seven hundred ninety thousand, seven hundred twenty".