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18506968040 = 23511401104891
BaseRepresentation
bin10001001111000110…
…011110101111101000
31202202210010101102202
4101033012132233220
5300400240434130
612300232315332
71223422430021
oct211706365750
952683111382
1018506968040
117937779010
123705b42b48
13198c285182
14c77cb7c48
15734b4b145
hex44f19ebe8

18506968040 has 64 divisors (see below), whose sum is σ = 45539910720. Its totient is φ = 6712960000.

The previous prime is 18506968021. The next prime is 18506968061. The reversal of 18506968040 is 4086960581.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 123995 + ... + 228885.

It is an arithmetic number, because the mean of its divisors is an integer number (711561105).

Almost surely, 218506968040 is an apocalyptic number.

18506968040 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 18506968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22769955360).

18506968040 is an abundant number, since it is smaller than the sum of its proper divisors (27032942680).

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

18506968040 is a wasteful number, since it uses less digits than its factorization.

18506968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105314 (or 105310 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 18506968040 in words is "eighteen billion, five hundred six million, nine hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 401 440 802 1604 2005 3208 4010 4411 8020 8822 16040 17644 22055 35288 44110 88220 104891 176440 209782 419564 524455 839128 1048910 1153801 2097820 2307602 4195640 4615204 5769005 9230408 11538010 23076020 42061291 46152040 84122582 168245164 210306455 336490328 420612910 462674201 841225820 925348402 1682451640 1850696804 2313371005 3701393608 4626742010 9253484020 18506968040