Search a number
-
+
87240087297 = 32112177364553
BaseRepresentation
bin101000100111111101…
…0100001011100000001
322100011220121121122100
41101033322201130001
52412131430243142
6104024425501013
76205614335556
oct1211772413401
9270156547570
1087240087297
1133aa8833900
1214aa8641769
1382c40bc53c
144318550a2d
152408e0eb4c
hex144fea1701

87240087297 has 72 divisors (see below), whose sum is σ = 148669669512. Its totient is φ = 49080176640.

The previous prime is 87240087281. The next prime is 87240087301. The reversal of 87240087297 is 79278004278.

87240087297 is a `hidden beast` number, since 8 + 72 + 400 + 87 + 2 + 97 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4282262721 + 82957824576 = 65439^2 + 288024^2 .

It is not a de Polignac number, because 87240087297 - 24 = 87240087281 is a prime.

It is a super-2 number, since 2×872400872972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87240087227) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1319173 + ... + 1383725.

It is an arithmetic number, because the mean of its divisors is an integer number (2064856521).

Almost surely, 287240087297 is an apocalyptic number.

It is an amenable number.

87240087297 is a deficient number, since it is larger than the sum of its proper divisors (61429582215).

87240087297 is a wasteful number, since it uses less digits than its factorization.

87240087297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64671 (or 64657 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 87240087297 in words is "eighty-seven billion, two hundred forty million, eighty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 9 11 17 33 51 73 99 121 153 187 219 363 561 657 803 1089 1241 1683 2057 2409 3723 6171 7227 8833 11169 13651 18513 26499 40953 64553 79497 122859 150161 193659 450483 580977 710083 1097401 1351449 2130249 3292203 4712369 6390747 7810913 9876609 12071411 14137107 23432739 36214233 42411321 51836059 70298217 80110273 108642699 132785521 155508177 240330819 398356563 466524531 570196649 720992457 881213003 1195069689 1710589947 2643639009 5131769841 7930917027 9693343033 29080029099 87240087297