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18503514972 = 22325376912611
BaseRepresentation
bin10001001110111001…
…010011101101011100
31202202112121221201100
4101032321103231130
5300343344434342
612300030313100
71223351165535
oct211671235534
952675557640
1018503514972
11793582a738
123704958790
13198b646537
14c7765968c
157346b7e4c
hex44ee53b5c

18503514972 has 72 divisors (see below), whose sum is σ = 47721033360. Its totient is φ = 6043115520.

The previous prime is 18503514959. The next prime is 18503514979. The reversal of 18503514972 is 27941530581.

18503514972 is a `hidden beast` number, since 1 + 8 + 503 + 51 + 4 + 97 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18503514979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460947 + ... + 1473557.

It is an arithmetic number, because the mean of its divisors is an integer number (662792130).

Almost surely, 218503514972 is an apocalyptic number.

18503514972 is a gapful number since it is divisible by the number (12) 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 18503514972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23860516680).

18503514972 is an abundant number, since it is smaller than the sum of its proper divisors (29217518388).

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

18503514972 is a wasteful number, since it uses less digits than its factorization.

18503514972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

It can be divided in two parts, 18503514 and 972, that added together give a triangular number (18504486 = T6083).

The spelling of 18503514972 in words is "eighteen billion, five hundred three million, five hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 769 954 1538 1908 2307 3076 4614 6921 9228 12611 13842 25222 27684 37833 40757 50444 75666 81514 113499 122271 151332 163028 226998 244542 366813 453996 489084 668383 733626 1336766 1467252 2005149 2673532 4010298 6015447 8020596 9697859 12030894 19395718 24061788 29093577 38791436 58187154 87280731 116374308 174561462 349122924 513986527 1027973054 1541959581 2055946108 3083919162 4625878743 6167838324 9251757486 18503514972