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10825484712 = 2337263324473
BaseRepresentation
bin10100001010011111…
…11100100110101000
31000221110001121021020
422011033330212220
5134132311002322
64550111412440
7532160046630
oct120517744650
930843047236
1010825484712
114655781989
122121524120
131036a24073
14749a436c0
154355bb05c
hex2853fc9a8

10825484712 has 64 divisors (see below), whose sum is σ = 30942967680. Its totient is φ = 3091694592.

The previous prime is 10825484693. The next prime is 10825484713. The reversal of 10825484712 is 21748452801.

10825484712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108254847122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10825484713) 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, 430108 + ... + 454580.

It is an arithmetic number, because the mean of its divisors is an integer number (483483870).

Almost surely, 210825484712 is an apocalyptic number.

10825484712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10825484712 is an abundant number, since it is smaller than the sum of its proper divisors (20117482968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10825484712 is a wasteful number, since it uses less digits than its factorization.

10825484712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27122 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 10825484712 in words is "ten billion, eight hundred twenty-five million, four hundred eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2633 5266 7899 10532 15798 18431 21064 24473 31596 36862 48946 55293 63192 73419 73724 97892 110586 146838 147448 171311 195784 221172 293676 342622 442344 513933 587352 685244 1027866 1370488 2055732 4111464 64437409 128874818 193312227 257749636 386624454 451061863 515499272 773248908 902123726 1353185589 1546497816 1804247452 2706371178 3608494904 5412742356 10825484712