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87397479378 = 232112101397301
BaseRepresentation
bin101000101100101001…
…0111011001111010010
322100120212202221222200
41101121102323033102
52412442223320003
6104052211144030
76212535213606
oct1213122731722
9270525687880
1087397479378
1134079664900
1214b312a5016
13831a8a8c51
144331401506
152417b4e6a3
hex14594bb3d2

87397479378 has 72 divisors (see below), whose sum is σ = 210202158348. Its totient is φ = 26221800000.

The previous prime is 87397479371. The next prime is 87397479401.

87397479378 is a `hidden beast` number, since 87 + 3 + 9 + 7 + 479 + 3 + 78 = 666.

87397479378 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 75401315649 + 11996163729 = 274593^2 + 109527^2 .

It is not an unprimeable number, because it can be changed into a prime (87397479371) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 21328 + ... + 418628.

Almost surely, 287397479378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87397479378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105101079174).

87397479378 is an abundant number, since it is smaller than the sum of its proper divisors (122804678970).

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

87397479378 is a wasteful number, since it uses less digits than its factorization.

87397479378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397432 (or 397418 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 87397479378 in words is "eighty-seven billion, three hundred ninety-seven million, four hundred seventy-nine thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9999 12221 19998 24442 36663 73326 109989 219978 397301 794602 1191903 2383806 3575709 4370311 7151418 8740622 13110933 26221866 39332799 40127401 48073421 78665598 80254802 96146842 120382203 144220263 240764406 288440526 361146609 432660789 441401411 722293218 865321578 882802822 1324204233 2648408466 3972612699 4855415521 7945225398 9710831042 14566246563 29132493126 43698739689 87397479378