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106574672951 = 475938639949
BaseRepresentation
bin110001101000001011…
…0000111010000110111
3101012002101001100000022
41203100112013100313
53221231104013301
6120543145035355
710462006526135
oct1432026072067
9335071040008
10106574672951
114121a69620a
12187a3785b5b
13a085977076
145230302755
152b8b53ad1b
hex18d0587437

106574672951 has 16 divisors (see below), whose sum is σ = 110726784000. Its totient is φ = 102502361568.

The previous prime is 106574672933. The next prime is 106574672957. The reversal of 106574672951 is 159276475601.

It is a cyclic number.

It is not a de Polignac number, because 106574672951 - 214 = 106574656567 is a prime.

It is a super-2 number, since 2×1065746729512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106574672893 and 106574672902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106574672957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10707125 + ... + 10717073.

It is an arithmetic number, because the mean of its divisors is an integer number (6920424000).

Almost surely, 2106574672951 is an apocalyptic number.

106574672951 is a deficient number, since it is larger than the sum of its proper divisors (4152111049).

106574672951 is an equidigital number, since it uses as much as digits as its factorization.

106574672951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 106574672951 in words is "one hundred six billion, five hundred seventy-four million, six hundred seventy-two thousand, nine hundred fifty-one".

Divisors: 1 47 59 2773 3863 9949 181561 227917 467603 586991 10712099 27588577 38432987 1806350389 2267546233 106574672951