Search a number
-
+
769420834644 = 2237113171794789
BaseRepresentation
bin10110011001001010000…
…11100011011101010100
32201120000021001012002210
423030211003203131110
5100101233213202034
61345244514433420
7106405652120310
oct13144503433524
92646007035083
10769420834644
11277345003210
12105151592870
135772c901ca7
1429351038b40
15150339138e9
hexb3250e3754

769420834644 has 384 divisors, whose sum is σ = 2373215846400. Its totient is φ = 188225856000.

The previous prime is 769420834627. The next prime is 769420834703. The reversal of 769420834644 is 446438024967.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160661802 + ... + 160666590.

It is an arithmetic number, because the mean of its divisors is an integer number (6180249600).

Almost surely, 2769420834644 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 769420834644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186607923200).

769420834644 is an abundant number, since it is smaller than the sum of its proper divisors (1603795011756).

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

769420834644 is a wasteful number, since it uses less digits than its factorization.

769420834644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 769420834644 in words is "seven hundred sixty-nine billion, four hundred twenty million, eight hundred thirty-four thousand, six hundred forty-four".