Search a number
-
+
6933379072 = 211192361127
BaseRepresentation
bin1100111010100001…
…01111100000000000
3122220012101011001111
412131100233200000
5103144421112242
63103554213104
7333546515104
oct63520574000
918805334044
106933379072
112a38791354
121415b84194
1386657b489
1449ab77904
152a8a59817
hex19d42f800

6933379072 has 192 divisors, whose sum is σ = 15599001600. Its totient is φ = 3065610240.

The previous prime is 6933379067. The next prime is 6933379139. The reversal of 6933379072 is 2709733396.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54593473 + ... + 54593599.

It is an arithmetic number, because the mean of its divisors is an integer number (81244800).

Almost surely, 26933379072 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 6933379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

6933379072 is an abundant number, since it is smaller than the sum of its proper divisors (8665622528).

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

6933379072 is a wasteful number, since it uses less digits than its factorization.

6933379072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 49.

The square root of 6933379072 is about 83266.9146300018. The cubic root of 6933379072 is about 1906.8431970697.

The spelling of 6933379072 in words is "six billion, nine hundred thirty-three million, three hundred seventy-nine thousand, seventy-two".