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7140046768 = 242319997499
BaseRepresentation
bin1101010011001010…
…00111011110110000
3200102121020221211121
412221211013132300
5104110322444033
63140255552024
7341636252611
oct65145073660
920377227747
107140046768
1130344088a8
12147322b614
1389a32b65a
144ba3b3c08
152bbc7e62d
hex1a99477b0

7140046768 has 40 divisors (see below), whose sum is σ = 14508000000. Its totient is φ = 3397610304.

The previous prime is 7140046747. The next prime is 7140046799. The reversal of 7140046768 is 8676400417.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24483 + ... + 121981.

It is an arithmetic number, because the mean of its divisors is an integer number (362700000).

Almost surely, 27140046768 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 7140046768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000000).

7140046768 is an abundant number, since it is smaller than the sum of its proper divisors (7367953232).

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

7140046768 is a wasteful number, since it uses less digits than its factorization.

7140046768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97729 (or 97723 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 7140046768 is about 84498.7974352298. The cubic root of 7140046768 is about 1925.6041747117.

The spelling of 7140046768 in words is "seven billion, one hundred forty million, forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 199 368 398 796 1592 3184 4577 9154 18308 36616 73232 97499 194998 389996 779992 1559984 2242477 4484954 8969908 17939816 19402301 35879632 38804602 77609204 155218408 310436816 446252923 892505846 1785011692 3570023384 7140046768