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914390284464 = 24341764164747
BaseRepresentation
bin11010100111001011110…
…10000111100010110000
310020102012102122021110000
431103211322013202300
5104440132403100324
61540022021110000
7123030305114436
oct15234572074260
93212172567400
10914390284464
11322877528578
1212926b558300
13682c3bb7327
1432384654d56
1518bbaa549c9
hexd4e5e878b0

914390284464 has 200 divisors, whose sum is σ = 2806602807888. Its totient is φ = 286415585280.

The previous prime is 914390284463. The next prime is 914390284499. The reversal of 914390284464 is 464482093419.

914390284464 is a `hidden beast` number, since 9 + 14 + 3 + 90 + 2 + 84 + 464 = 666.

914390284464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9143902844642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 914390284464.

It is not an unprimeable number, because it can be changed into a prime (914390284463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14090139 + ... + 14154885.

Almost surely, 2914390284464 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 914390284464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403301403944).

914390284464 is an abundant number, since it is smaller than the sum of its proper divisors (1892212523424).

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

914390284464 is a wasteful number, since it uses less digits than its factorization.

914390284464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65425 (or 65410 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 914390284464 in words is "nine hundred fourteen billion, three hundred ninety million, two hundred eighty-four thousand, four hundred sixty-four".