Search a number
-
+
780381425664 = 212324321072
BaseRepresentation
bin10110101101100100101…
…10111001000000000000
32202121022010022220101100
423112302112321000000
5100241210121110124
61354300254134400
7110244402446211
oct13266226710000
92677263286340
10780381425664
11280a59a744a5
121072b01b1400
135878860bac9
1429ab09ab408
1515475cbb1c9
hexb5b25b9000

780381425664 has 351 divisors, whose sum is σ = 2329571290683. Its totient is φ = 251703115776.

The previous prime is 780381425641. The next prime is 780381425683. The reversal of 780381425664 is 466524183087.

It is a happy number.

The square root of 780381425664 is 883392.

It is a perfect power (a square), and thus also a powerful number.

780381425664 is a `hidden beast` number, since 7 + 8 + 0 + 38 + 1 + 42 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 780381425664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7293284299 + ... + 7293284405.

Almost surely, 2780381425664 is an apocalyptic number.

780381425664 is the 883392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780381425664

780381425664 is an abundant number, since it is smaller than the sum of its proper divisors (1549189865019).

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

780381425664 is an equidigital number, since it uses as much as digits as its factorization.

780381425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 780381425664 in words is "seven hundred eighty billion, three hundred eighty-one million, four hundred twenty-five thousand, six hundred sixty-four".