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18419929060 = 2251331273721
BaseRepresentation
bin10001001001111010…
…011100111111100100
31202112201100100101211
4101021322130333210
5300211000212220
612243443001204
71221314546041
oct211172347744
952481310354
1018419929060
1178a262a375
1236a0969204
13197722bc10
14c6a4dc1c8
1572c1a6b5a
hex449e9cfe4

18419929060 has 72 divisors (see below), whose sum is σ = 43045096248. Its totient is φ = 6581721600.

The previous prime is 18419929027. The next prime is 18419929067. The reversal of 18419929060 is 6092991481.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 18419375524 = 744^2 + 135718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18419928995 and 18419929013.

It is not an unprimeable number, because it can be changed into a prime (18419929067) 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, 213000 + ... + 286720.

It is an arithmetic number, because the mean of its divisors is an integer number (597848559).

Almost surely, 218419929060 is an apocalyptic number.

18419929060 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 18419929060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21522548124).

18419929060 is an abundant number, since it is smaller than the sum of its proper divisors (24625167188).

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

18419929060 is a wasteful number, since it uses less digits than its factorization.

18419929060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73805 (or 73772 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The spelling of 18419929060 in words is "eighteen billion, four hundred nineteen million, nine hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 961 1612 1922 2015 3844 4030 4805 8060 9610 12493 19220 24986 49972 62465 73721 124930 147442 249860 294884 368605 737210 958373 1474420 1916746 2285351 3833492 4570702 4791865 9141404 9583730 11426755 19167460 22853510 29709563 45707020 59419126 70845881 118838252 141691762 148547815 283383524 297095630 354229405 594191260 708458810 920996453 1416917620 1841992906 3683985812 4604982265 9209964530 18419929060