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6930935424 = 273107131
BaseRepresentation
bin1100111010001110…
…11010111010000000
3122220000210000000000
412131013122322000
5103143304413144
63103430000000
7333516656550
oct63507327200
918800700000
106930935424
112a37372406
1214151a6000
13865c0412a
1449a6dd160
152a8725769
hex19d1dae80

6930935424 has 352 divisors, whose sum is σ = 23850937440. Its totient is φ = 1965150720.

The previous prime is 6930935413. The next prime is 6930935443. The reversal of 6930935424 is 4245390396.

It is a self number, because there is not a number n which added to its sum of digits gives 6930935424.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 52907839 + ... + 52907969.

It is an arithmetic number, because the mean of its divisors is an integer number (67758345).

Almost surely, 26930935424 is an apocalyptic number.

6930935424 is a gapful number since it is divisible by the number (64) 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 6930935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925468720).

6930935424 is an abundant number, since it is smaller than the sum of its proper divisors (16920002016).

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

6930935424 is an frugal number, since it uses more digits than its factorization.

6930935424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6930935424 is about 83252.2397536547. The cubic root of 6930935424 is about 1906.6191504179.

The spelling of 6930935424 in words is "six billion, nine hundred thirty million, nine hundred thirty-five thousand, four hundred twenty-four".