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10146604533 = 3137114924593
BaseRepresentation
bin10010111001100100…
…01110010111110101
3222012010121220201220
421130302032113311
5131240012321113
64354500540553
7506304500262
oct113462162765
928163556656
1010146604533
11433754818a
121b720b1759
13c5919aa10
146c3806269
153e5bbb523
hex25cc8e5f5

10146604533 has 32 divisors (see below), whose sum is σ = 14874451200. Its totient is φ = 6114554880.

The previous prime is 10146604499. The next prime is 10146604661. The reversal of 10146604533 is 33540664101.

It is not a de Polignac number, because 10146604533 - 29 = 10146604021 is a prime.

It is a super-2 number, since 2×101466045332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10146604494 and 10146604503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146104533) 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 31 ways as a sum of consecutive naturals, for example, 400285 + ... + 424877.

It is an arithmetic number, because the mean of its divisors is an integer number (464826600).

Almost surely, 210146604533 is an apocalyptic number.

10146604533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10146604533 is a deficient number, since it is larger than the sum of its proper divisors (4727846667).

10146604533 is a wasteful number, since it uses less digits than its factorization.

10146604533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10146604533 in words is "ten billion, one hundred forty-six million, six hundred four thousand, five hundred thirty-three".

Divisors: 1 3 13 39 71 149 213 447 923 1937 2769 5811 10579 24593 31737 73779 137527 319709 412581 959127 1746103 3664357 5238309 10993071 22699339 47636641 68098017 142909923 260169347 780508041 3382201511 10146604533