Search a number
-
+
978463068252731 = 29318188918359903
BaseRepresentation
bin1101111001111010000010111…
…1100110111110101000111011
311202022110011012120110111110022
43132132200233212332220323
52011222114330433041411
613345003421140041055
7413045423655652505
oct33636405746765073
94668404176414408
10978463068252731
1126384a947604936
12918a884599318b
1332cc7896168759
1413389c18112d75
15781c10ab5aedb
hex379e82f9bea3b

978463068252731 has 8 divisors (see below), whose sum is σ = 981807983936640. Its totient is φ = 975118189652992.

The previous prime is 978463068252707. The next prime is 978463068252739. The reversal of 978463068252731 is 137252860364879.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 978463068252731 - 214 = 978463068236347 is a prime.

It is a super-2 number, since 2×9784630682527312 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (978463068252739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44113526 + ... + 62473428.

It is an arithmetic number, because the mean of its divisors is an integer number (122725997992080).

It is a 1-persistent number, because it is pandigital, but 2⋅978463068252731 = 1956926136505462 is not.

Almost surely, 2978463068252731 is an apocalyptic number.

978463068252731 is a deficient number, since it is larger than the sum of its proper divisors (3344915683909).

978463068252731 is a wasteful number, since it uses less digits than its factorization.

978463068252731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18542085.

The product of its (nonzero) digits is 731566080, while the sum is 71.

The spelling of 978463068252731 in words is "nine hundred seventy-eight trillion, four hundred sixty-three billion, sixty-eight million, two hundred fifty-two thousand, seven hundred thirty-one".

Divisors: 1 293 181889 18359903 53293477 5379451579 3339464396767 978463068252731