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106338637779 = 31117189551939
BaseRepresentation
bin110001100001001000…
…1101101011111010011
3101011110220220111121220
41203002101231133103
53220240142402104
6120503514020123
710453112336013
oct1430221553723
9334426814556
10106338637779
1141109430520
1218738717643
13a048ab3a9a
14520ac1dc43
152b759647d9
hex18c246d7d3

106338637779 has 16 divisors (see below), whose sum is σ = 163772876160. Its totient is φ = 60656620160.

The previous prime is 106338637721. The next prime is 106338637793. The reversal of 106338637779 is 977736833601.

It is a happy number.

It is not a de Polignac number, because 106338637779 - 27 = 106338637651 is a prime.

It is a super-2 number, since 2×1063386377792 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106338637709) 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 15 ways as a sum of consecutive naturals, for example, 94775409 + ... + 94776530.

It is an arithmetic number, because the mean of its divisors is an integer number (10235804760).

Almost surely, 2106338637779 is an apocalyptic number.

106338637779 is a deficient number, since it is larger than the sum of its proper divisors (57434238381).

106338637779 is a wasteful number, since it uses less digits than its factorization.

106338637779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189551970.

The product of its (nonzero) digits is 24004512, while the sum is 60.

The spelling of 106338637779 in words is "one hundred six billion, three hundred thirty-eight million, six hundred thirty-seven thousand, seven hundred seventy-nine".

Divisors: 1 3 11 17 33 51 187 561 189551939 568655817 2085071329 3222382963 6255213987 9667148889 35446212593 106338637779