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18105210704 = 24722692932
BaseRepresentation
bin10000110111001001…
…111001011101010000
31201201210010222222102
4100313021321131100
5244034413220304
612152321255532
71210443515600
oct206711713520
951653128872
1018105210704
117750a12859
1236134945a8
131926c79a39
14c3a7b6c00
1570e73bd1e
hex437279750

18105210704 has 90 divisors (see below), whose sum is σ = 41097963870. Its totient is φ = 7704146688.

The previous prime is 18105210659. The next prime is 18105210709. The reversal of 18105210704 is 40701250181.

It can be written as a sum of positive squares in 3 ways, for example, as 7174090000 + 10931120704 = 84700^2 + 104552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18105210709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61792382 + ... + 61792674.

It is an arithmetic number, because the mean of its divisors is an integer number (456644043).

Almost surely, 218105210704 is an apocalyptic number.

18105210704 is a gapful number since it is divisible by the number (14) 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 18105210704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548981935).

18105210704 is an abundant number, since it is smaller than the sum of its proper divisors (22992753166).

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

18105210704 is an equidigital number, since it uses as much as digits as its factorization.

18105210704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

Adding to 18105210704 its reverse (40701250181), we get a palindrome (58806460885).

The spelling of 18105210704 in words is "eighteen billion, one hundred five million, two hundred ten thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 269 293 392 538 586 784 1076 1172 1883 2051 2152 2344 3766 4102 4304 4688 7532 8204 13181 14357 15064 16408 26362 28714 30128 32816 52724 57428 78817 85849 105448 114856 157634 171698 210896 229712 315268 343396 551719 600943 630536 686792 1103438 1201886 1261072 1373584 2206876 2403772 3862033 4206601 4413752 4807544 7724066 8413202 8827504 9615088 15448132 16826404 23093381 30896264 33652808 46186762 61792528 67305616 92373524 161653667 184747048 323307334 369494096 646614668 1131575669 1293229336 2263151338 2586458672 4526302676 9052605352 18105210704