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106737787717 = 1122357167169
BaseRepresentation
bin110001101101000010…
…0010110001101000101
3101012111201222102101221
41203122010112031011
53222044333201332
6121011253120341
710466030140321
oct1433204261505
9335451872357
10106737787717
11412a3775800
121882a3290b1
13a0b06b8492
145247c42981
152b9aa0b297
hex18da116345

106737787717 has 24 divisors (see below), whose sum is σ = 122640598080. Its totient is φ = 92651539200.

The previous prime is 106737787711. The next prime is 106737787727. The reversal of 106737787717 is 717787737601.

It is not a de Polignac number, because 106737787717 - 27 = 106737787589 is a prime.

It is a super-2 number, since 2×1067377877172 (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 (106737787711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555509 + ... + 1622677.

It is an arithmetic number, because the mean of its divisors is an integer number (5110024920).

Almost surely, 2106737787717 is an apocalyptic number.

It is an amenable number.

106737787717 is a deficient number, since it is larger than the sum of its proper divisors (15902810363).

106737787717 is a wasteful number, since it uses less digits than its factorization.

106737787717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67785 (or 67774 counting only the distinct ones).

The product of its (nonzero) digits is 16941456, while the sum is 61.

The spelling of 106737787717 in words is "one hundred six billion, seven hundred thirty-seven million, seven hundred eighty-seven thousand, seven hundred seventeen".

Divisors: 1 11 23 121 253 571 2783 6281 13133 67169 69091 144463 738859 1544887 1589093 8127449 16993757 38353499 186931327 421888489 882130477 4640773379 9703435247 106737787717