Search a number
-
+
835982216406 = 232237471955761
BaseRepresentation
bin11000010101001000110…
…11000100110011010110
32221220211001000201112100
430022210123010303112
5102144042421411111
61440013412102530
7114253263411021
oct14124433046326
92856731021470
10835982216406
112a25a1192527
12116028904a46
1360aa9821b9c
142c6670b01b8
1516b2c1de756
hexc2a46c4cd6

835982216406 has 24 divisors (see below), whose sum is σ = 1811372003064. Its totient is φ = 278648861760.

The previous prime is 835982216393. The next prime is 835982216411. The reversal of 835982216406 is 604612289538.

835982216406 is a `hidden beast` number, since 8 + 3 + 5 + 9 + 8 + 221 + 6 + 406 = 666.

It is a super-3 number, since 3×8359822164063 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550435 + ... + 1405326.

It is an arithmetic number, because the mean of its divisors is an integer number (75473833461).

Almost surely, 2835982216406 is an apocalyptic number.

835982216406 is an abundant number, since it is smaller than the sum of its proper divisors (975389786658).

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

835982216406 is a wasteful number, since it uses less digits than its factorization.

835982216406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979516 (or 1979513 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 835982216406 in words is "eight hundred thirty-five billion, nine hundred eighty-two million, two hundred sixteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23747 47494 71241 142482 213723 427446 1955761 3911522 5867283 11734566 17601849 35203698 46443456467 92886912934 139330369401 278660738802 417991108203 835982216406