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106948473849 = 3471753209347
BaseRepresentation
bin110001110011010100…
…0000011001111111001
3101020001102102101110000
41203212220003033321
53223012302130344
6121044220543213
710504166012520
oct1434650031771
9336042371400
10106948473849
11413a1697378
12188889b1b09
13a115244729
145267c074b7
152bae276a69
hex18e6a033f9

106948473849 has 80 divisors (see below), whose sum is σ = 196974695808. Its totient is φ = 56432982528.

The previous prime is 106948473773. The next prime is 106948473871. The reversal of 106948473849 is 948374849601.

106948473849 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 484 + 73 + 84 + 9 = 666.

It is not a de Polignac number, because 106948473849 - 211 = 106948471801 is a prime.

It is a super-2 number, since 2×1069484738492 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106948473949) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 406194 + ... + 615540.

Almost surely, 2106948473849 is an apocalyptic number.

It is an amenable number.

106948473849 is a deficient number, since it is larger than the sum of its proper divisors (90026221959).

106948473849 is a wasteful number, since it uses less digits than its factorization.

106948473849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209436 (or 209427 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 106948473849 in words is "one hundred six billion, nine hundred forty-eight million, four hundred seventy-three thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 17 21 27 51 53 63 81 119 153 159 189 357 371 459 477 567 901 1071 1113 1377 1431 2703 3213 3339 4293 6307 8109 9639 10017 18921 24327 30051 56763 72981 170289 209347 510867 628041 1465429 1884123 3558899 4396287 5652369 10676697 11095391 13188861 16957107 24912293 32030091 33286173 39566583 74736879 77667737 96090273 99858519 118699749 188621647 224210637 233003211 288270819 299575557 565864941 672631911 699009633 898726671 1320351529 1697594823 2017895733 2097028899 3961054587 5092784469 6291086697 11883163761 15278353407 35649491283 106948473849