Search a number
-
+
764046026940 = 2235723759119047
BaseRepresentation
bin10110001111001001011…
…00010010100010111100
32201001010200101200000210
423013210230102202330
5100004231240330230
61342555313552420
7106125526034100
oct13074454224274
92631120350023
10764046026940
11275037077679
121040b1575710
13570842126c1
1428da128d900
1514d1bb22eb0
hexb1e4b128bc

764046026940 has 288 divisors, whose sum is σ = 2599208317440. Its totient is φ = 167037728256.

The previous prime is 764046026921. The next prime is 764046026951. The reversal of 764046026940 is 49620640467.

It is a self number, because there is not a number n which added to its sum of digits gives 764046026940.

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 95 ways as a sum of consecutive naturals, for example, 6358497 + ... + 6477543.

It is an arithmetic number, because the mean of its divisors is an integer number (9025028880).

Almost surely, 2764046026940 is an apocalyptic number.

764046026940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764046026940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299604158720).

764046026940 is an abundant number, since it is smaller than the sum of its proper divisors (1835162290500).

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

764046026940 is a wasteful number, since it uses less digits than its factorization.

764046026940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119169 (or 119160 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 764046026940 in words is "seven hundred sixty-four billion, forty-six million, twenty-six thousand, nine hundred forty".