Search a number
-
+
80690689260 = 2232531131167661
BaseRepresentation
bin100101100100110001…
…0100011010011101100
321201021110202201112200
41023021202203103230
52310223304024020
6101022505301500
75554406353626
oct1131142432354
9251243681480
1080690689260
1131247877155
121377b194890
1377bc26429c
143c967abc16
152173e52590
hex12c98a34ec

80690689260 has 288 divisors, whose sum is σ = 256497905664. Its totient is φ = 20509632000.

The previous prime is 80690689241. The next prime is 80690689267. The reversal of 80690689260 is 6298609608.

It is a junction number, because it is equal to n+sod(n) for n = 80690689197 and 80690689206.

It is not an unprimeable number, because it can be changed into a prime (80690689267) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 122073330 + ... + 122073990.

It is an arithmetic number, because the mean of its divisors is an integer number (890617728).

Almost surely, 280690689260 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 80690689260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128248952832).

80690689260 is an abundant number, since it is smaller than the sum of its proper divisors (175807216404).

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

80690689260 is a wasteful number, since it uses less digits than its factorization.

80690689260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 80690689260 in words is "eighty billion, six hundred ninety million, six hundred eighty-nine thousand, two hundred sixty".