Search a number
-
+
87267776790528 = 217321929316171
BaseRepresentation
bin10011110101111010011100…
…110101100000000000000000
3102102222201101102002101022200
4103311322130311200000000
542414243401324244103
6505334132504033200
724244613601421125
oct2365723465400000
9372881342071280
1087267776790528
1125896068a28554
1299550b5a62800
133990415457799
141779ad652474c
15a1507d9190a3
hex4f5e9cd60000

87267776790528 has 1728 divisors, whose sum is σ = 292083505459200. Its totient is φ = 24970788864000.

The previous prime is 87267776790473. The next prime is 87267776790533. The reversal of 87267776790528 is 82509767776278.

87267776790528 is a `hidden beast` number, since 8 + 7 + 26 + 7 + 7 + 7 + 67 + 9 + 0 + 528 = 666.

It is a super-2 number, since 2×872677767905282 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229123616733 + ... + 1229123616803.

It is an arithmetic number, because the mean of its divisors is an integer number (169029806400).

Almost surely, 287267776790528 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 87267776790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146041752729600).

87267776790528 is an abundant number, since it is smaller than the sum of its proper divisors (204815728668672).

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

87267776790528 is a wasteful number, since it uses less digits than its factorization.

87267776790528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6970199040, while the sum is 81.

The spelling of 87267776790528 in words is "eighty-seven trillion, two hundred sixty-seven billion, seven hundred seventy-six million, seven hundred ninety thousand, five hundred twenty-eight".