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10940357106953 = 191575696445639
BaseRepresentation
bin1001111100110100000000…
…0110010101110100001001
31102201212222022000210012122
42133031000012111310021
52413221322404410303
635133533005221025
72206262151022631
oct237150006256411
942655868023178
1010940357106953
11353886341066a
121288393561775
1361489596ab71
1429b7322bd6c1
1513e8b5495e38
hex9f340195d09

10940357106953 has 16 divisors (see below), whose sum is σ = 11609886768000. Its totient is φ = 10280431654272.

The previous prime is 10940357106929. The next prime is 10940357107019. The reversal of 10940357106953 is 35960175304901.

It is a cyclic number.

It is not a de Polignac number, because 10940357106953 - 220 = 10940356058377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10940357106895 and 10940357106904.

It is not an unprimeable number, because it can be changed into a prime (10940357103953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1525493 + ... + 4920146.

It is an arithmetic number, because the mean of its divisors is an integer number (725617923000).

Almost surely, 210940357106953 is an apocalyptic number.

It is an amenable number.

10940357106953 is a deficient number, since it is larger than the sum of its proper divisors (669529661047).

10940357106953 is a wasteful number, since it uses less digits than its factorization.

10940357106953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446384.

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 10940357106953 in words is "ten trillion, nine hundred forty billion, three hundred fifty-seven million, one hundred six thousand, nine hundred fifty-three".

Divisors: 1 19 157 569 2983 10811 89333 1697327 6445639 122467141 1011965323 3667568591 19227341137 69683803229 575808268787 10940357106953