Search a number
-
+
770996221632 = 26347213298397
BaseRepresentation
bin10110011100000101111…
…01001011011011000000
32201201002001102010210000
423032002331023123000
5100113000013043012
61350105112440000
7106463001516300
oct13160275133300
92651061363700
10770996221632
11277a832a382a
121055110a9000
13579210caa40
1429460363600
15150c6d9eddc
hexb382f4b6c0

770996221632 has 1680 divisors, whose sum is σ = 3028437387360. Its totient is φ = 191962939392.

The previous prime is 770996221469. The next prime is 770996221679. The reversal of 770996221632 is 236122699077.

770996221632 is a `hidden beast` number, since 7 + 7 + 0 + 9 + 9 + 622 + 1 + 6 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 7948414608 + ... + 7948414704.

It is an arithmetic number, because the mean of its divisors is an integer number (1802641302).

Almost surely, 2770996221632 is an apocalyptic number.

770996221632 is a gapful number since it is divisible by the number (72) 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 770996221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514218693680).

770996221632 is an abundant number, since it is smaller than the sum of its proper divisors (2257441165728).

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

770996221632 is a wasteful number, since it uses less digits than its factorization.

770996221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 770996221632 in words is "seven hundred seventy billion, nine hundred ninety-six million, two hundred twenty-one thousand, six hundred thirty-two".