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6930974736 = 243372192907
BaseRepresentation
bin1100111010001111…
…00100100000010000
3122220000211222221000
412131013210200100
5103143312142421
63103430502000
7333520212300
oct63507444020
918800758830
106930974736
112a373999a4
121415204900
13865c18caa
1449a70d600
152a8732226
hex19d1e4810

6930974736 has 360 divisors, whose sum is σ = 24451604640. Its totient is φ = 1873984896.

The previous prime is 6930974731. The next prime is 6930974753. The reversal of 6930974736 is 6374790396.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6930974731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7641195 + ... + 7642101.

It is an arithmetic number, because the mean of its divisors is an integer number (67921124).

Almost surely, 26930974736 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 6930974736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225802320).

6930974736 is an abundant number, since it is smaller than the sum of its proper divisors (17520629904).

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

6930974736 is a wasteful number, since it uses less digits than its factorization.

6930974736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 6930974736 is about 83252.4758550759. The cubic root of 6930974736 is about 1906.6227551680.

The spelling of 6930974736 in words is "six billion, nine hundred thirty million, nine hundred seventy-four thousand, seven hundred thirty-six".