Search a number
-
+
87281376576 = 2632631728481
BaseRepresentation
bin101000101001001100…
…0000001110101000000
322100021210022022212220
41101102120001311000
52412223013022301
6104032502451040
76206625313512
oct1212230016500
9270253268786
1087281376576
113401a075079
1214aba433a80
1382cc817b74
14431dc1bbb2
15240c868936
hex1452601d40

87281376576 has 56 divisors (see below), whose sum is σ = 231810177984. Its totient is φ = 28983152640.

The previous prime is 87281376569. The next prime is 87281376577. The reversal of 87281376576 is 67567318278.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87281376577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813745 + ... + 914736.

It is an arithmetic number, because the mean of its divisors is an integer number (4139467464).

Almost surely, 287281376576 is an apocalyptic number.

It is an amenable number.

87281376576 is an abundant number, since it is smaller than the sum of its proper divisors (144528801408).

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

87281376576 is a wasteful number, since it uses less digits than its factorization.

87281376576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728759 (or 1728749 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 87281376576 in words is "eighty-seven billion, two hundred eighty-one million, three hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 25248 50496 1728481 3456962 5185443 6913924 10370886 13827848 20741772 27655696 41483544 55311392 82967088 110622784 165934176 331868352 454590503 909181006 1363771509 1818362012 2727543018 3636724024 5455086036 7273448048 10910172072 14546896096 21820344144 29093792192 43640688288 87281376576