Search a number
-
+
770385376656 = 2431272432
BaseRepresentation
bin10110011010111101000…
…10111111010110010000
32201122111111000000000000
423031132202333112100
5100110222124023111
61345524332130000
7106441603441200
oct13153642772620
92648444000000
10770385376656
1127779a508975
12105380606900
13578546a5acc
1429403196400
151508d43dc56
hexb35e8bf590

770385376656 has 585 divisors, whose sum is σ = 2666448540891. Its totient is φ = 214991267904.

The previous prime is 770385376591. The next prime is 770385376661. The reversal of 770385376656 is 656673583077.

The square root of 770385376656 is 877716.

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

770385376656 is a `hidden beast` number, since 7 + 7 + 0 + 38 + 537 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 770385376593 and 770385376602.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 17915938971 + ... + 17915939013.

Almost surely, 2770385376656 is an apocalyptic number.

770385376656 is the 877716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770385376656

770385376656 is an abundant number, since it is smaller than the sum of its proper divisors (1896063164235).

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

770385376656 is an frugal number, since it uses more digits than its factorization.

770385376656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

It can be divided in two parts, 770385 and 376656, that added together give a square (1147041 = 10712).

The spelling of 770385376656 in words is "seven hundred seventy billion, three hundred eighty-five million, three hundred seventy-six thousand, six hundred fifty-six".