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11862084020 = 2252975727017
BaseRepresentation
bin10110000110000100…
…10000100110110100
31010121200121022012012
423003002100212310
5143243143142040
65241021343352
7566645023223
oct130302204664
933550538165
1011862084020
115037923326
122370707b58
131170706c37
1480759acba
154965cb865
hex2c30909b4

11862084020 has 48 divisors (see below), whose sum is σ = 25804351440. Its totient is φ = 4574997504.

The previous prime is 11862084007. The next prime is 11862084037. The reversal of 11862084020 is 2048026811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1219685776 + 10642398244 = 34924^2 + 103162^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425552 + ... + 452568.

It is an arithmetic number, because the mean of its divisors is an integer number (537590655).

Almost surely, 211862084020 is an apocalyptic number.

11862084020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11862084020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902175720).

11862084020 is an abundant number, since it is smaller than the sum of its proper divisors (13942267420).

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

11862084020 is a wasteful number, since it uses less digits than its factorization.

11862084020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 11862084020 in words is "eleven billion, eight hundred sixty-two million, eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 757 1514 3028 3785 7570 15140 21953 27017 43906 54034 87812 108068 109765 135085 219530 270170 439060 540340 783493 1566986 3133972 3917465 7834930 15669860 20451869 40903738 81807476 102259345 204518690 409037380 593104201 1186208402 2372416804 2965521005 5931042010 11862084020