Search a number
-
+
87069893765625 = 325614921672
BaseRepresentation
bin10011110011000010001010…
…000101101010100111111001
3102102021210121121021011201100
4103303002022011222213321
542403023120301000000
6505103205040042013
724224410064441151
oct2363021205524771
9372253547234640
1087069893765625
112581a15313a051
12992288b303309
13397786a8baac4
1417702c366b761
15a0ed4b261a00
hex4f308a16a9f9

87069893765625 has 189 divisors, whose sum is σ = 159223080883321. Its totient is φ = 45849415800000.

The previous prime is 87069893765611. The next prime is 87069893765653. The reversal of 87069893765625 is 52656739896078.

The square root of 87069893765625 is 9331125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 36913243443129 + 50156650322496 = 6075627^2 + 7082136^2 .

It is not a de Polignac number, because 87069893765625 - 27 = 87069893765497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 521376609292 + ... + 521376609458.

Almost surely, 287069893765625 is an apocalyptic number.

87069893765625 is the 9331125-th square number.

87069893765625 is the 4665563-rd centered octagonal number.

It is an amenable number.

87069893765625 is a deficient number, since it is larger than the sum of its proper divisors (72153187117696).

87069893765625 is an frugal number, since it uses more digits than its factorization.

87069893765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 87069893765625 in words is "eighty-seven trillion, sixty-nine billion, eight hundred ninety-three million, seven hundred sixty-five thousand, six hundred twenty-five".