Search a number
-
+
105353837435058 = 2326387665440289
BaseRepresentation
bin10111111101000110011010…
…000011100101100010110010
3111211000201200001222202100020
4113331012122003211202302
5102302104124340410213
61012022515035304310
731122364206365112
oct2775063203454262
9454021601882306
10105353837435058
1130629347732813
12b996342bab096
1346a2a93b1c154
141c0321d945042
15c2a765da7923
hex5fd19a0e58b2

105353837435058 has 16 divisors (see below), whose sum is σ = 210715660470240. Its totient is φ = 35116614878336.

The previous prime is 105353837434991. The next prime is 105353837435069. The reversal of 105353837435058 is 850534738353501.

It is a super-2 number, since 2×1053538374350582 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105353837434992 and 105353837435010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332561823 + ... + 332878466.

It is an arithmetic number, because the mean of its divisors is an integer number (13169728779390).

Almost surely, 2105353837435058 is an apocalyptic number.

105353837435058 is an abundant number, since it is smaller than the sum of its proper divisors (105361823035182).

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

105353837435058 is a wasteful number, since it uses less digits than its factorization.

105353837435058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665466681.

The product of its (nonzero) digits is 90720000, while the sum is 60.

The spelling of 105353837435058 in words is "one hundred five trillion, three hundred fifty-three billion, eight hundred thirty-seven million, four hundred thirty-five thousand, fifty-eight".

Divisors: 1 2 3 6 26387 52774 79161 158322 665440289 1330880578 1996320867 3992641734 17558972905843 35117945811686 52676918717529 105353837435058