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108039088249 = 2323124612
BaseRepresentation
bin110010010011110100…
…0011010100001111001
3101022212102121100010221
41210213220122201321
53232231001310444
6121344340340041
710543211045401
oct1444750324171
9338772540127
10108039088249
1141901281094
1218b320a4621
13a25a18a3b1
14532c9c1801
152c24da6a84
hex1927a1a879

108039088249 has 27 divisors (see below), whose sum is σ = 116955141807. Its totient is φ = 99791194800.

The previous prime is 108039088217. The next prime is 108039088253. The reversal of 108039088249 is 942880930801.

The square root of 108039088249 is 328693.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34630604649 + 73408483600 = 186093^2 + 270940^2 .

It is not a de Polignac number, because 108039088249 - 25 = 108039088217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108039088196 and 108039088205.

It is not an unprimeable number, because it can be changed into a prime (108039088259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234357879 + ... + 234358339.

Almost surely, 2108039088249 is an apocalyptic number.

108039088249 is the 328693-rd square number.

108039088249 is the 164347-th centered octagonal number.

It is an amenable number.

108039088249 is a deficient number, since it is larger than the sum of its proper divisors (8916053558).

108039088249 is an frugal number, since it uses more digits than its factorization.

108039088249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 108039088249 in words is "one hundred eight billion, thirty-nine million, eighty-eight thousand, two hundred forty-nine".

Divisors: 1 23 31 461 529 713 961 10603 14291 16399 22103 212521 243869 328693 443021 508369 4887983 6588151 7559939 10189483 112423609 151527473 204232681 234358109 3485131879 4697351663 108039088249