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18413720440 = 2353733736919
BaseRepresentation
bin10001001001100010…
…110001001101111000
31202112021122220202221
4101021202301031320
5300202403023230
612243101533424
71221211020103
oct211142611570
952467586687
1018413720440
11789a079785
12369a874274
131975b66c8b
14c6976373a
1572b87c27a
hex4498b1378

18413720440 has 64 divisors (see below), whose sum is σ = 42678043200. Its totient is φ = 7144962048.

The previous prime is 18413720333. The next prime is 18413720449. The reversal of 18413720440 is 4402731481.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18413720396 and 18413720405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18413720449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480301 + ... + 517219.

It is an arithmetic number, because the mean of its divisors is an integer number (666844425).

Almost surely, 218413720440 is an apocalyptic number.

18413720440 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 18413720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339021600).

18413720440 is an abundant number, since it is smaller than the sum of its proper divisors (24264322760).

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

18413720440 is a wasteful number, since it uses less digits than its factorization.

18413720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37304 (or 37300 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 18413720440 in words is "eighteen billion, four hundred thirteen million, seven hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 337 370 674 740 1348 1480 1685 2696 3370 6740 12469 13480 24938 36919 49876 62345 73838 99752 124690 147676 184595 249380 295352 369190 498760 738380 1366003 1476760 2732006 5464012 6830015 10928024 12441703 13660030 24883406 27320060 49766812 54640120 62208515 99533624 124417030 248834060 460343011 497668120 920686022 1841372044 2301715055 3682744088 4603430110 9206860220 18413720440