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19004746240 = 29552114249
BaseRepresentation
bin10001101100110001…
…010110101000000000
31211001110210010202101
4101230301112220000
5302410203334430
612421453400144
71241645451304
oct215461265000
954043703671
1019004746240
118072758157
123824799054
131a3b43cb9c
14cc4051d04
157636c5dca
hex46cc56a00

19004746240 has 80 divisors (see below), whose sum is σ = 45657513000. Its totient is φ = 7586775040.

The previous prime is 19004746169. The next prime is 19004746247. The reversal of 19004746240 is 4264740091.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15372032256 + 3632713984 = 123984^2 + 60272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×190047462402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19004746240.

It is not an unprimeable number, because it can be changed into a prime (19004746247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1326636 + ... + 1340884.

Almost surely, 219004746240 is an apocalyptic number.

19004746240 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 19004746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22828756500).

19004746240 is an abundant number, since it is smaller than the sum of its proper divisors (26652766760).

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

19004746240 is an equidigital number, since it uses as much as digits as its factorization.

19004746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 19004746240 in words is "nineteen billion, four million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 521 640 1042 1280 2084 2560 2605 4168 5210 8336 10420 14249 16672 20840 28498 33344 41680 56996 66688 71245 83360 113992 133376 142490 166720 227984 266752 284980 333440 455968 569960 666880 911936 1139920 1333760 1823872 2279840 3647744 4559680 7295488 7423729 9119360 14847458 18238720 29694916 36477440 37118645 59389832 74237290 118779664 148474580 237559328 296949160 475118656 593898320 950237312 1187796640 1900474624 2375593280 3800949248 4751186560 9502373120 19004746240