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11825859664 = 243146151719
BaseRepresentation
bin10110000001110000…
…00100110001010000
31010112011102220201101
423000320010301100
5143204410002124
65233245114144
7566025101653
oct130070046120
933464386641
1011825859664
115019431443
122360558954
131166062ac8
1480284b89a
15493323644
hex2c0e04c50

11825859664 has 40 divisors (see below), whose sum is σ = 23703482880. Its totient is φ = 5709667200.

The previous prime is 11825859659. The next prime is 11825859691. The reversal of 11825859664 is 46695852811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202797 + ... + 254515.

It is an arithmetic number, because the mean of its divisors is an integer number (592587072).

Almost surely, 211825859664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11825859664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851741440).

11825859664 is an abundant number, since it is smaller than the sum of its proper divisors (11877623216).

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

11825859664 is a wasteful number, since it uses less digits than its factorization.

11825859664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52219 (or 52213 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 55.

The spelling of 11825859664 in words is "eleven billion, eight hundred twenty-five million, eight hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 461 496 922 1844 3688 7376 14291 28582 51719 57164 103438 114328 206876 228656 413752 827504 1603289 3206578 6413156 12826312 23842459 25652624 47684918 95369836 190739672 381479344 739116229 1478232458 2956464916 5912929832 11825859664