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106786418964 = 22341217045567
BaseRepresentation
bin110001101110011110…
…1110111000100010100
3101012122010111010221020
41203130331313010110
53222144310401324
6121020151321140
710500160404351
oct1433475670424
9335563433836
10106786418964
1141319171115
12188426801b0
13a0ba7b4874
1452504a1628
152b9ee15679
hex18dcf77114

106786418964 has 24 divisors (see below), whose sum is σ = 255245587968. Its totient is φ = 34727290560.

The previous prime is 106786418957. The next prime is 106786418989. The reversal of 106786418964 is 469814687601.

It is a super-2 number, since 2×1067864189642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106786418898 and 106786418907.

It is a congruent number.

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, 108522292 + ... + 108523275.

It is an arithmetic number, because the mean of its divisors is an integer number (10635232832).

Almost surely, 2106786418964 is an apocalyptic number.

It is an amenable number.

106786418964 is an abundant number, since it is smaller than the sum of its proper divisors (148459169004).

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

106786418964 is a wasteful number, since it uses less digits than its factorization.

106786418964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217045615 (or 217045613 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 106786418964 in words is "one hundred six billion, seven hundred eighty-six million, four hundred eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 217045567 434091134 651136701 868182268 1302273402 2604546804 8898868247 17797736494 26696604741 35595472988 53393209482 106786418964