Search a number
-
+
17990182543872 = 293721137335821
BaseRepresentation
bin1000001011100101010100…
…11100001010001000000000
32100200211210202100012200110
410011302222130022020000
54324222343212400442
6102132324210551320
73534514331353500
oct405625234121000
970624722305613
1017990182543872
115806659052150
12202674b898540
13a0660bb16c36
14462a2d9a5a00
15212e7505769c
hex105caa70a200

17990182543872 has 480 divisors, whose sum is σ = 60846869818944. Its totient is φ = 4670720409600.

The previous prime is 17990182543843. The next prime is 17990182543889. The reversal of 17990182543872 is 27834528109971.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090562722 + ... + 3090568542.

Almost surely, 217990182543872 is an apocalyptic number.

17990182543872 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 17990182543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423434909472).

17990182543872 is an abundant number, since it is smaller than the sum of its proper divisors (42856687275072).

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

17990182543872 is a wasteful number, since it uses less digits than its factorization.

17990182543872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 17990182543872 in words is "seventeen trillion, nine hundred ninety billion, one hundred eighty-two million, five hundred forty-three thousand, eight hundred seventy-two".