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106418199632 = 2417814748023
BaseRepresentation
bin110001100011100000…
…1001101110001010000
3101011200110121122222012
41203013001031301100
53220421024342012
6120515435202052
710455066525533
oct1430701156120
9334613548865
10106418199632
114114a332518
121875b2a6328
13a05c41c8c4
145217610a1a
152b7c92d622
hex18c704dc50

106418199632 has 40 divisors (see below), whose sum is σ = 218345150016. Its totient is φ = 50071963136.

The previous prime is 106418199631. The next prime is 106418199653. The reversal of 106418199632 is 236991814601.

It is a super-2 number, since 2×1064181996322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106418199631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2191973 + ... + 2239995.

Almost surely, 2106418199632 is an apocalyptic number.

It is an amenable number.

106418199632 is an abundant number, since it is smaller than the sum of its proper divisors (111926950384).

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

106418199632 is a wasteful number, since it uses less digits than its factorization.

106418199632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56195 (or 56189 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 106418199632 in words is "one hundred six billion, four hundred eighteen million, one hundred ninety-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 8147 16294 32588 48023 65176 96046 130352 138499 192092 276998 384184 553996 768368 816391 1107992 1632782 2215984 3265564 6531128 13062256 391243381 782486762 1564973524 3129947048 6259894096 6651137477 13302274954 26604549908 53209099816 106418199632