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106756272799 = 11174117773137
BaseRepresentation
bin110001101101100101…
…0110111001010011111
3101012120000202120011121
41203123022313022133
53222114101212144
6121013153231411
710466343226561
oct1433312671237
9335500676147
10106756272799
1141303150930
1218834562567
13a0b448b1b7
14524a495331
152b9c45d384
hex18db2b729f

106756272799 has 16 divisors (see below), whose sum is σ = 116631025056. Its totient is φ = 96909926400.

The previous prime is 106756272797. The next prime is 106756272803. The reversal of 106756272799 is 997272657601.

It is a cyclic number.

It is not a de Polignac number, because 106756272799 - 21 = 106756272797 is a prime.

It is a super-2 number, since 2×1067562727992 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106756272797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34029759 + ... + 34032895.

It is an arithmetic number, because the mean of its divisors is an integer number (7289439066).

Almost surely, 2106756272799 is an apocalyptic number.

106756272799 is a deficient number, since it is larger than the sum of its proper divisors (9874752257).

106756272799 is a wasteful number, since it uses less digits than its factorization.

106756272799 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666.

The product of its (nonzero) digits is 20003760, while the sum is 61.

The spelling of 106756272799 in words is "one hundred six billion, seven hundred fifty-six million, two hundred seventy-two thousand, seven hundred ninety-nine".

Divisors: 1 11 1741 1777 3137 19151 19547 34507 3093757 5461517 5574449 34031327 60076687 61318939 9705115709 106756272799