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106976655249 = 3292393513839
BaseRepresentation
bin110001110100001001…
…1100011011110010001
3101020010101110011001120
41203220103203132101
53223042010431444
6121051104552453
710504660365162
oct1435023433621
9336111404046
10106976655249
1141406595492
1218896322729
13a11b030a09
14526b861769
152bb1991b19
hex18e84e3791

106976655249 has 16 divisors (see below), whose sum is σ = 147615955200. Its totient is φ = 68829627776.

The previous prime is 106976655193. The next prime is 106976655277. The reversal of 106976655249 is 942556679601.

It is a cyclic number.

It is not a de Polignac number, because 106976655249 - 212 = 106976651153 is a prime.

It is a super-2 number, since 2×1069766552492 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106976655192 and 106976655201.

It is not an unprimeable number, because it can be changed into a prime (106976655649) 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, 48729 + ... + 465110.

It is an arithmetic number, because the mean of its divisors is an integer number (9225997200).

Almost surely, 2106976655249 is an apocalyptic number.

It is an amenable number.

106976655249 is a deficient number, since it is larger than the sum of its proper divisors (40639299951).

106976655249 is a wasteful number, since it uses less digits than its factorization.

106976655249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516264.

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 106976655249 in words is "one hundred six billion, nine hundred seventy-six million, six hundred fifty-five thousand, two hundred forty-nine".

Divisors: 1 3 29 87 2393 7179 69397 208191 513839 1541517 14901331 44703993 1229616727 3688850181 35658885083 106976655249