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106698971964 = 223132812434049
BaseRepresentation
bin110001101011111000…
…0010001101100111100
3101012102000221101012110
41203113300101230330
53222004414100324
6121003345134020
710465046204004
oct1432760215474
9335360841173
10106698971964
1141283873972
121881932a310
13a0a5647990
145242a1b004
152b973e0329
hex18d7c11b3c

106698971964 has 48 divisors (see below), whose sum is σ = 269069623200. Its totient is φ = 32713605120.

The previous prime is 106698971957. The next prime is 106698971983. The reversal of 106698971964 is 469179896601.

It is a super-2 number, since 2×1066989719642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106698971895 and 106698971904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173189 + ... + 1260860.

It is an arithmetic number, because the mean of its divisors is an integer number (5605617150).

Almost surely, 2106698971964 is an apocalyptic number.

It is an amenable number.

106698971964 is an abundant number, since it is smaller than the sum of its proper divisors (162370651236).

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

106698971964 is a wasteful number, since it uses less digits than its factorization.

106698971964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434350 (or 2434348 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 106698971964 in words is "one hundred six billion, six hundred ninety-eight million, nine hundred seventy-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 281 562 843 1124 1686 3372 3653 7306 10959 14612 21918 43836 2434049 4868098 7302147 9736196 14604294 29208588 31642637 63285274 94927911 126570548 189855822 379711644 683967769 1367935538 2051903307 2735871076 4103806614 8207613228 8891580997 17783161994 26674742991 35566323988 53349485982 106698971964