Search a number
-
+
770134640000 = 2754111078179
BaseRepresentation
bin10110011010011111001…
…10100000010110000000
32201121212000012020222012
423031033212200112000
5100104213431440000
61345443414032052
7106432440300425
oct13151746402600
92647760166865
10770134640000
11277680a217a0
12105310648628
135781476601b
14293bbb67d4c
1515076411735
hexb34f9a0580

770134640000 has 320 divisors, whose sum is σ = 2111297918400. Its totient is φ = 277397760000.

The previous prime is 770134639943. The next prime is 770134640021. The reversal of 770134640000 is 46431077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94155911 + ... + 94164089.

It is an arithmetic number, because the mean of its divisors is an integer number (6597805995).

Almost surely, 2770134640000 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 770134640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055648959200).

770134640000 is an abundant number, since it is smaller than the sum of its proper divisors (1341163278400).

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

770134640000 is a wasteful number, since it uses less digits than its factorization.

770134640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 770134640000 in words is "seven hundred seventy billion, one hundred thirty-four million, six hundred forty thousand".