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18103912464 = 2431185740009
BaseRepresentation
bin10000110111000100…
…111100100000010000
31201201200201001010110
4100313010330200100
5244034100144324
612152233401320
71210426500621
oct206704744020
951650631113
1018103912464
117750206430
123612b69240
131926913b51
14c3a559a48
1570e582329
hex43713c810

18103912464 has 80 divisors (see below), whose sum is σ = 51080927040. Its totient is φ = 5479495680.

The previous prime is 18103912457. The next prime is 18103912499. The reversal of 18103912464 is 46421930181.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 432492 + ... + 472500.

It is an arithmetic number, because the mean of its divisors is an integer number (638511588).

Almost surely, 218103912464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18103912464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25540463520).

18103912464 is an abundant number, since it is smaller than the sum of its proper divisors (32977014576).

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

18103912464 is a wasteful number, since it uses less digits than its factorization.

18103912464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40888 (or 40882 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 18103912464 in words is "eighteen billion, one hundred three million, nine hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 857 1714 2571 3428 5142 6856 9427 10284 13712 18854 20568 28281 37708 40009 41136 56562 75416 80018 113124 120027 150832 160036 226248 240054 320072 440099 452496 480108 640144 880198 960216 1320297 1760396 1920432 2640594 3520792 5281188 7041584 10562376 21124752 34287713 68575426 102863139 137150852 205726278 274301704 377164843 411452556 548603408 754329686 822905112 1131494529 1508659372 1645810224 2262989058 3017318744 4525978116 6034637488 9051956232 18103912464