Search a number
-
+
86474510380 = 22519214538243
BaseRepresentation
bin101000010001001001…
…0000101000000101100
322021012120001021112201
41100202102011000230
52404044433313010
6103420440511244
76150630132106
oct1204222050054
9267176037481
1086474510380
1133745674605
121491417b524
1382015cc94b
1442849c6576
1523b1ad723a
hex142248502c

86474510380 has 72 divisors (see below), whose sum is σ = 191812389552. Its totient is φ = 32742762624.

The previous prime is 86474510333. The next prime is 86474510417. The reversal of 86474510380 is 8301547468.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86474510380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10486539 + ... + 10494781.

It is an arithmetic number, because the mean of its divisors is an integer number (2664060966).

Almost surely, 286474510380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86474510380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95906194776).

86474510380 is an abundant number, since it is smaller than the sum of its proper divisors (105337879172).

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

86474510380 is a wasteful number, since it uses less digits than its factorization.

86474510380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 86474510380 in words is "eighty-six billion, four hundred seventy-four million, five hundred ten thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1453 1805 2906 3610 5812 7220 7265 8243 14530 16486 27607 29060 32972 41215 55214 82430 110428 138035 156617 164860 276070 313234 524533 552140 626468 783085 1049066 1566170 2098132 2622665 2975723 3132340 5245330 5951446 10490660 11902892 11977079 14878615 23954158 29757230 47908316 59514460 59885395 119770790 227564501 239541580 455129002 910258004 1137822505 2275645010 4323725519 4551290020 8647451038 17294902076 21618627595 43237255190 86474510380