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106460418771 = 3374711984737
BaseRepresentation
bin110001100100110001…
…0010001001011010011
3101011210102001121202000
41203021202101023103
53221012331400041
6120523544125043
710456121425440
oct1431142211323
9334712047660
10106460418771
1141171149373
1218771466783
13a0680b2545
14521d0809c7
152b814bcbb6
hex18c98912d3

106460418771 has 32 divisors (see below), whose sum is σ = 184085575680. Its totient is φ = 59540168448.

The previous prime is 106460418737. The next prime is 106460418781. The reversal of 106460418771 is 177814064601.

106460418771 is a `hidden beast` number, since 1 + 0 + 6 + 460 + 4 + 187 + 7 + 1 = 666.

It is not a de Polignac number, because 106460418771 - 213 = 106460410579 is a prime.

It is a super-2 number, since 2×1064604187712 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106460418721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983486 + ... + 6001251.

It is an arithmetic number, because the mean of its divisors is an integer number (5752674240).

Almost surely, 2106460418771 is an apocalyptic number.

106460418771 is a deficient number, since it is larger than the sum of its proper divisors (77625156909).

106460418771 is a wasteful number, since it uses less digits than its factorization.

106460418771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984800 (or 11984794 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 106460418771 in words is "one hundred six billion, four hundred sixty million, four hundred eighteen thousand, seven hundred seventy-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 11984737 35954211 83893159 107862633 251679477 323587899 563282639 755038431 1689847917 2265115293 3942978473 5069543751 11828935419 15208631253 35486806257 106460418771