Search a number
-
+
102276554576 = 247229313151
BaseRepresentation
bin101111101000000101…
…0000101111101010000
3100202222211101022000212
41133100022011331100
53133430244221301
6114552445303252
710250336240600
oct1372012057520
9322884338025
10102276554576
113a4144a3269
12179a4264b28
13984c366161
144d43548c00
1529d90294bb
hex17d0285f50

102276554576 has 240 divisors, whose sum is σ = 248042695680. Its totient is φ = 40684896000.

The previous prime is 102276554519. The next prime is 102276554581. The reversal of 102276554576 is 675455672201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 677328101 + ... + 677328251.

It is an arithmetic number, because the mean of its divisors is an integer number (1033511232).

Almost surely, 2102276554576 is an apocalyptic number.

102276554576 is a gapful number since it is divisible by the number (16) 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 102276554576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124021347840).

102276554576 is an abundant number, since it is smaller than the sum of its proper divisors (145766141104).

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

102276554576 is an equidigital number, since it uses as much as digits as its factorization.

102276554576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 102276554576 in words is "one hundred two billion, two hundred seventy-six million, five hundred fifty-four thousand, five hundred seventy-six".