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107119417936 = 2422954072
BaseRepresentation
bin110001111000011010…
…0001001101001010000
3101020111100002020122111
41203300310021221100
53223340032333221
6121113204515104
710511343013006
oct1436064115120
9336440066574
10107119417936
114147a134183
12189160aba94
13a14179768b
1452827c4a76
152bbe291be1
hex18f0d09a50

107119417936 has 30 divisors (see below), whose sum is σ = 208488736410. Its totient is φ = 53315961408.

The previous prime is 107119417913. The next prime is 107119417949. The reversal of 107119417936 is 639714911701.

It can be written as a sum of positive squares in only one way, i.e., 105248336400 + 1871081536 = 324420^2 + 43256^2 .

It is a super-2 number, since 2×1071194179362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107119417936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19808545 + ... + 19813951.

It is an arithmetic number, because the mean of its divisors is an integer number (6949624547).

Almost surely, 2107119417936 is an apocalyptic number.

107119417936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107119417936 is a deficient number, since it is larger than the sum of its proper divisors (101369318474).

107119417936 is an frugal number, since it uses more digits than its factorization.

107119417936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 49.

The spelling of 107119417936 in words is "one hundred seven billion, one hundred nineteen million, four hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 229 458 916 1832 3664 5407 10814 21628 43256 86512 1238203 2476406 4952812 9905624 19811248 29235649 58471298 116942596 233885192 467770384 6694963621 13389927242 26779854484 53559708968 107119417936