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106435285418 = 2721128975821
BaseRepresentation
bin110001100100000001…
…0011001000110101010
3101011201122202201021002
41203020002121012222
53220434413113133
6120521245315002
710455364666400
oct1431002310652
9334648681232
10106435285418
1141158a42300
1218764b65a62
13a062b22737
1452199bb470
152b7e1a5ce8
hex18c80991aa

106435285418 has 36 divisors (see below), whose sum is σ = 204137119746. Its totient is φ = 41468288400.

The previous prime is 106435285403. The next prime is 106435285421. The reversal of 106435285418 is 814582534601.

106435285418 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59918717089 + 46516568329 = 244783^2 + 215677^2 .

It is a super-2 number, since 2×1064352854182 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4476053 + ... + 4499768.

Almost surely, 2106435285418 is an apocalyptic number.

106435285418 is a deficient number, since it is larger than the sum of its proper divisors (97701834328).

106435285418 is a wasteful number, since it uses less digits than its factorization.

106435285418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975859 (or 8975841 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 106435285418 in words is "one hundred six billion, four hundred thirty-five million, two hundred eighty-five thousand, four hundred eighteen".

Divisors: 1 2 7 11 14 22 49 77 98 121 154 242 539 847 1078 1694 5929 11858 8975821 17951642 62830747 98734031 125661494 197468062 439815229 691138217 879630458 1086074341 1382276434 2172148682 4837967519 7602520387 9675935038 15205040774 53217642709 106435285418