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106757361535 = 51126911876079
BaseRepresentation
bin110001101101100111…
…1000000111101111111
3101012120002210212122011
41203123033000331333
53222114341032120
6121013232432051
710466355412666
oct1433317007577
9335502725564
10106757361535
1141303824910
12188349a8627
13a0b477c916
14524a699ddd
152b9c5c5c5a
hex18db3c0f7f

106757361535 has 32 divisors (see below), whose sum is σ = 140415897600. Its totient is φ = 77275205760.

The previous prime is 106757361517. The next prime is 106757361547. The reversal of 106757361535 is 535163757601.

It is a de Polignac number, because none of the positive numbers 2k-106757361535 is a prime.

It is a super-2 number, since 2×1067573615352 (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17558626 + ... + 17564704.

It is an arithmetic number, because the mean of its divisors is an integer number (4387996800).

Almost surely, 2106757361535 is an apocalyptic number.

106757361535 is a deficient number, since it is larger than the sum of its proper divisors (33658536065).

106757361535 is a wasteful number, since it uses less digits than its factorization.

106757361535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551.

The product of its (nonzero) digits is 1984500, while the sum is 49.

The spelling of 106757361535 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-one thousand, five hundred thirty-five".

Divisors: 1 5 11 55 269 1187 1345 2959 5935 6079 13057 14795 30395 65285 66869 319303 334345 1596515 1635251 3512333 7215773 8176255 17561665 17987761 36078865 79373503 89938805 396867515 1941042937 9705214685 21351472307 106757361535