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6992778240 = 2103257219163
BaseRepresentation
bin1101000001100110…
…10101010000000000
3200001100010221101200
412200303111100000
5103310122400430
63113515301200
7335200430400
oct64063252000
920040127350
106992778240
112a69271878
121431a4a800
13875977b06
144a49da800
152add8e460
hex1a0cd5400

6992778240 has 792 divisors, whose sum is σ = 29851155360. Its totient is φ = 1504935936.

The previous prime is 6992778239. The next prime is 6992778257. The reversal of 6992778240 is 428772996.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42900399 + ... + 42900561.

Almost surely, 26992778240 is an apocalyptic number.

6992778240 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 6992778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925577680).

6992778240 is an abundant number, since it is smaller than the sum of its proper divisors (22858377120).

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

6992778240 is a wasteful number, since it uses less digits than its factorization.

6992778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6992778240 is about 83622.8332454719. The cubic root of 6992778240 is about 1912.2731121335.

The spelling of 6992778240 in words is "six billion, nine hundred ninety-two million, seven hundred seventy-eight thousand, two hundred forty".