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106714670712 = 233131301262901
BaseRepresentation
bin110001101100010110…
…0001010011001111000
3101012110010110221211120
41203120230022121320
53222022423430322
6121005105425240
710465326506646
oct1433054123170
9335403427746
10106714670712
1141291716641
121882263b220
13a0a8983390
145244b46196
152b98991a5c
hex18d8b0a678

106714670712 has 64 divisors (see below), whose sum is σ = 287530659360. Its totient is φ = 32809920000.

The previous prime is 106714670683. The next prime is 106714670729. The reversal of 106714670712 is 217076417601.

It is a super-2 number, since 2×1067146707122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274462 + ... + 537362.

Almost surely, 2106714670712 is an apocalyptic number.

106714670712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106714670712 is an abundant number, since it is smaller than the sum of its proper divisors (180815988648).

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

106714670712 is a wasteful number, since it uses less digits than its factorization.

106714670712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264224 (or 264220 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 106714670712 in words is "one hundred six billion, seven hundred fourteen million, six hundred seventy thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1301 2602 3903 5204 7806 10408 15612 16913 31224 33826 50739 67652 101478 135304 202956 262901 405912 525802 788703 1051604 1577406 2103208 3154812 3417713 6309624 6835426 10253139 13670852 20506278 27341704 41012556 82025112 342034201 684068402 1026102603 1368136804 2052205206 2736273608 4104410412 4446444613 8208820824 8892889226 13339333839 17785778452 26678667678 35571556904 53357335356 106714670712