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11404872540 = 22325221328631
BaseRepresentation
bin10101001111100100…
…01000101101011100
31002102211021112221200
422213302020231130
5141324121410130
65123405555500
7552423550155
oct124762105534
932384245850
1011404872540
1149228315a6
122263575b90
1310c9a839b9
147a298292c
1546b3b6760
hex2a7c88b5c

11404872540 has 72 divisors (see below), whose sum is σ = 34611621408. Its totient is φ = 3039818880.

The previous prime is 11404872511. The next prime is 11404872541. The reversal of 11404872540 is 4527840411.

It is a happy number.

11404872540 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 48 + 72 + 540 = 666.

11404872540 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-3 number, since 3×114048725403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11404872495 and 11404872504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404872541) 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, 384025 + ... + 412655.

It is an arithmetic number, because the mean of its divisors is an integer number (480716964).

Almost surely, 211404872540 is an apocalyptic number.

11404872540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404872540 is an abundant number, since it is smaller than the sum of its proper divisors (23206748868).

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

11404872540 is a wasteful number, since it uses less digits than its factorization.

11404872540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30859 (or 30854 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 11404872540 in words is "eleven billion, four hundred four million, eight hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2213 4426 6639 8852 11065 13278 19917 22130 26556 28631 33195 39834 44260 57262 66390 79668 85893 99585 114524 132780 143155 171786 199170 257679 286310 343572 398340 429465 515358 572620 858930 1030716 1288395 1717860 2576790 5153580 63360403 126720806 190081209 253441612 316802015 380162418 570243627 633604030 760324836 950406045 1140487254 1267208060 1900812090 2280974508 2851218135 3801624180 5702436270 11404872540