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106796967277 = 7111337277933
BaseRepresentation
bin110001101110110011…
…0000110010101101101
3101012122212100001111111
41203131212012111231
53222210010423102
6121021205352021
710500346146430
oct1433546062555
9335585301444
10106796967277
1141324116230
1218846108611
13a0bca38b80
145251a49817
152ba0ceacd7
hex18dd98656d

106796967277 has 48 divisors (see below), whose sum is σ = 147373817472. Its totient is φ = 74739905280.

The previous prime is 106796967271. The next prime is 106796967281. The reversal of 106796967277 is 772769697601.

It is not a de Polignac number, because 106796967277 - 27 = 106796967149 is a prime.

It is a super-2 number, since 2×1067969672772 (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 (106796967271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331403 + ... + 1409335.

It is an arithmetic number, because the mean of its divisors is an integer number (3070287864).

Almost surely, 2106796967277 is an apocalyptic number.

It is an amenable number.

106796967277 is a deficient number, since it is larger than the sum of its proper divisors (40576850195).

106796967277 is a wasteful number, since it uses less digits than its factorization.

106796967277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78038 (or 78001 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 67.

The spelling of 106796967277 in words is "one hundred six billion, seven hundred ninety-six million, nine hundred sixty-seven thousand, two hundred seventy-seven".

Divisors: 1 7 11 13 37 77 91 143 259 407 481 1001 1369 2849 3367 5291 9583 15059 17797 37037 77933 105413 124579 195767 545531 857263 1013129 1370369 2883521 6000841 7091903 11144419 20184647 31718731 37485773 78010933 106690277 222031117 262400411 412343503 746831939 1173593047 1386973601 2886404521 8215151329 9708815207 15256709611 106796967277