Search a number
-
+
79482560960 = 26511236714653
BaseRepresentation
bin100101000000110000…
…1111010000111000000
321121011021110110002002
41022001201322013000
52300240013422320
6100302551043132
75512436422655
oct1120141720700
9247137413062
1079482560960
1130787919510
12134a26704a8
137658b8517a
143bc0163c2c
152102d5d675
hex128187a1c0

79482560960 has 224 divisors, whose sum is σ = 218681759232. Its totient is φ = 27231621120.

The previous prime is 79482560953. The next prime is 79482560981. The reversal of 79482560960 is 6906528497.

It is a happy number.

It is a super-2 number, since 2×794825609602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 79482560896 and 79482560905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5416994 + ... + 5431646.

Almost surely, 279482560960 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 79482560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109340879616).

79482560960 is an abundant number, since it is smaller than the sum of its proper divisors (139199198272).

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

79482560960 is a wasteful number, since it uses less digits than its factorization.

79482560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 79482560960 in words is "seventy-nine billion, four hundred eighty-two million, five hundred sixty thousand, nine hundred sixty".