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11903875940 = 2251126737309
BaseRepresentation
bin10110001011000011…
…01011101101100100
31010201121020112221002
423011201223231210
5143334343012230
65245113212432
7600663163445
oct130541535544
933647215832
1011903875940
115059478200
122382701118
13117927a298
1480cd592cc
1549a0d4545
hex2c586bb64

11903875940 has 72 divisors (see below), whose sum is σ = 27521886840. Its totient is φ = 4321658880.

The previous prime is 11903875909. The next prime is 11903875943. The reversal of 11903875940 is 4957830911.

11903875940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 490799716 + 11413076224 = 22154^2 + 106832^2 .

It is not an unprimeable number, because it can be changed into a prime (11903875943) 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 23 ways as a sum of consecutive naturals, for example, 1625006 + ... + 1632314.

Almost surely, 211903875940 is an apocalyptic number.

11903875940 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 11903875940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760943420).

11903875940 is an abundant number, since it is smaller than the sum of its proper divisors (15618010900).

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

11903875940 is a wasteful number, since it uses less digits than its factorization.

11903875940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 11903875940 in words is "eleven billion, nine hundred three million, eight hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 673 1210 1346 2420 2692 3365 6730 7309 7403 13460 14618 14806 29236 29612 36545 37015 73090 74030 80399 81433 146180 148060 160798 162866 321596 325732 401995 407165 803990 814330 884389 1607980 1628660 1768778 3537556 4421945 4918957 8843890 9837914 17687780 19675828 24594785 49189570 54108527 98379140 108217054 216434108 270542635 541085270 595193797 1082170540 1190387594 2380775188 2975968985 5951937970 11903875940