Search a number
-
+
7994428704 = 253317719757
BaseRepresentation
bin1110111001000000…
…10100110100100000
3202122010221001112000
413130200110310200
5112333033204304
63401140204000
7402052344213
oct73440246440
922563831460
107994428704
113432712679
121671399600
139a53422b2
1455ba5777a
1531bc99939
hex1dc814d20

7994428704 has 192 divisors, whose sum is σ = 24755673600. Its totient is φ = 2501259264.

The previous prime is 7994428703. The next prime is 7994428759. The reversal of 7994428704 is 4078244997.

It is a happy number.

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 (7994428703) 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 31 ways as a sum of consecutive naturals, for example, 10560294 + ... + 10561050.

It is an arithmetic number, because the mean of its divisors is an integer number (128935800).

Almost surely, 27994428704 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 7994428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377836800).

7994428704 is an abundant number, since it is smaller than the sum of its proper divisors (16761244896).

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

7994428704 is a wasteful number, since it uses less digits than its factorization.

7994428704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7994428704 is about 89411.5691843063. The cubic root of 7994428704 is about 1999.5356175161.

The spelling of 7994428704 in words is "seven billion, nine hundred ninety-four million, four hundred twenty-eight thousand, seven hundred four".