Search a number
-
+
82517145424 = 24742147989
BaseRepresentation
bin100110011011001100…
…1111011011101010000
321212222202120022101021
41030312121323131100
52322443342123144
6101524032445224
75650565110000
oct1146631733520
9255882508337
1082517145424
1131aa486075a
1213baa9a9814
137a2078828c
143dcb1b0000
15222e484884
hex133667b750

82517145424 has 50 divisors (see below), whose sum is σ = 186512119690. Its totient is φ = 35364474432.

The previous prime is 82517145421. The next prime is 82517145433. The reversal of 82517145424 is 42454171528.

It can be written as a sum of positive squares in only one way, i.e., 82449379600 + 67765824 = 287140^2 + 8232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82517145421) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1035579 + ... + 1112410.

Almost surely, 282517145424 is an apocalyptic number.

It is an amenable number.

82517145424 is an abundant number, since it is smaller than the sum of its proper divisors (103994974266).

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

82517145424 is an equidigital number, since it uses as much as digits as its factorization.

82517145424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148025 (or 2147998 counting only the distinct ones).

The product of its digits is 358400, while the sum is 43.

The spelling of 82517145424 in words is "eighty-two billion, five hundred seventeen million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 9604 19208 38416 2147989 4295978 8591956 15035923 17183912 30071846 34367824 60143692 105251461 120287384 210502922 240574768 421005844 736760227 842011688 1473520454 1684023376 2947040908 5157321589 5894081816 10314643178 11788163632 20629286356 41258572712 82517145424