Search a number
-
+
87435644720868 = 22331291627102481
BaseRepresentation
bin10011111000010110110010…
…100010110101011011100100
3102110120202200102012210201000
4103320112302202311123210
542430021200022031433
6505543214120233300
724263005533323553
oct2370266242653344
9373522612183630
1087435644720868
1125950281003184
12998174460b830
1339a31b8775992
141783c9cd63d9a
15a19605eb5113
hex4f85b28b56e4

87435644720868 has 48 divisors (see below), whose sum is σ = 226860593888320. Its totient is φ = 29122639171200.

The previous prime is 87435644720861. The next prime is 87435644720899. The reversal of 87435644720868 is 86802744653478.

87435644720868 is a `hidden beast` number, since 8 + 7 + 4 + 35 + 64 + 472 + 0 + 8 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87435644720796 and 87435644720805.

It is not an unprimeable number, because it can be changed into a prime (87435644720861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313411813 + ... + 313690668.

Almost surely, 287435644720868 is an apocalyptic number.

It is an amenable number.

87435644720868 is an abundant number, since it is smaller than the sum of its proper divisors (139424949167452).

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

87435644720868 is a wasteful number, since it uses less digits than its factorization.

87435644720868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627103785 (or 627103777 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 87435644720868 in words is "eighty-seven trillion, four hundred thirty-five billion, six hundred forty-four million, seven hundred twenty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1291 2582 3873 5164 7746 11619 15492 23238 34857 46476 69714 139428 627102481 1254204962 1881307443 2508409924 3762614886 5643922329 7525229772 11287844658 16931766987 22575689316 33863533974 67727067948 809589302971 1619178605942 2428767908913 3238357211884 4857535817826 7286303726739 9715071635652 14572607453478 21858911180217 29145214906956 43717822360434 87435644720868