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6774749982 = 23371113231311
BaseRepresentation
bin1100100111100111…
…00111101100011110
3122111010212221212000
412103303213230132
5102333313444412
63040130223130
7326612265450
oct62363475436
918433787760
106774749982
112967195a30
121390a24aa6
1383c74aa00
14483a842d0
15299b734dc
hex193ce7b1e

6774749982 has 384 divisors, whose sum is σ = 21047869440. Its totient is φ = 1566864000.

The previous prime is 6774749977. The next prime is 6774750007. The reversal of 6774749982 is 2899474776.

6774749982 is a `hidden beast` number, since 6 + 77 + 474 + 9 + 98 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (42674688) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21783607 + ... + 21783917.

It is an arithmetic number, because the mean of its divisors is an integer number (54812160).

Almost surely, 26774749982 is an apocalyptic number.

6774749982 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6774749982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523934720).

6774749982 is an abundant number, since it is smaller than the sum of its proper divisors (14273119458).

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

6774749982 is a wasteful number, since it uses less digits than its factorization.

6774749982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 6774749982 is about 82308.8694005695. The cubic root of 6774749982 is about 1892.1886110051.

The spelling of 6774749982 in words is "six billion, seven hundred seventy-four million, seven hundred forty-nine thousand, nine hundred eighty-two".