Search a number
-
+
87065870751765 = 3354191539218081
BaseRepresentation
bin10011110010111110011010…
…010011000101100000010101
3102102021102020020020220012000
4103302332122103011200111
542402441400403024030
6505101301524545513
724224205304413603
oct2362763223054025
9372242206226160
1087065870751765
1125818479267204
129921b47b52299
13397737929c229
141770021246873
15a0ebb2e92860
hex4f2f9a4c5815

87065870751765 has 32 divisors (see below), whose sum is σ = 155153182665600. Its totient is φ = 46324307335680.

The previous prime is 87065870751737. The next prime is 87065870751779. The reversal of 87065870751765 is 56715707856078.

It is not a de Polignac number, because 87065870751765 - 216 = 87065870686229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87065870751693 and 87065870751702.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 769552476 + ... + 769665605.

It is an arithmetic number, because the mean of its divisors is an integer number (4848536958300).

Almost surely, 287065870751765 is an apocalyptic number.

It is an amenable number.

87065870751765 is a deficient number, since it is larger than the sum of its proper divisors (68087311913835).

87065870751765 is a wasteful number, since it uses less digits than its factorization.

87065870751765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539218514 (or 1539218508 counting only the distinct ones).

The product of its (nonzero) digits is 691488000, while the sum is 72.

The spelling of 87065870751765 in words is "eighty-seven trillion, sixty-five billion, eight hundred seventy million, seven hundred fifty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 419 1257 2095 3771 6285 11313 18855 56565 1539218081 4617654243 7696090405 13852962729 23088271215 41558888187 69264813645 207794440935 644932375939 1934797127817 3224661879695 5804391383451 9673985639085 17413174150353 29021956917255 87065870751765