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18381163464 = 233619165883
BaseRepresentation
bin10001000111100110…
…100100101111001000
31202110000101212000000
4101013212210233020
5300121034212324
612235540043000
71220334211566
oct210746445710
952400355000
1018381163464
117882762194
12368b993460
13196c1a81b1
14c652caa36
15728a9a9c9
hex4479a4bc8

18381163464 has 112 divisors (see below), whose sum is σ = 54393363600. Its totient is φ = 5804542944.

The previous prime is 18381163457. The next prime is 18381163469. The reversal of 18381163464 is 46436118381.

18381163464 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 1 + 1 + 634 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18381163469) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27867 + ... + 193749.

Almost surely, 218381163464 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 18381163464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27196681800).

18381163464 is an abundant number, since it is smaller than the sum of its proper divisors (36012200136).

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

18381163464 is a wasteful number, since it uses less digits than its factorization.

18381163464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165926 (or 165907 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 18381163464 in words is "eighteen billion, three hundred eighty-one million, one hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2916 3078 4104 4617 5832 6156 9234 12312 13851 18468 27702 36936 55404 110808 165883 331766 497649 663532 995298 1327064 1492947 1990596 2985894 3151777 3981192 4478841 5971788 6303554 8957682 9455331 11943576 12607108 13436523 17915364 18910662 25214216 26873046 28365993 35830728 37821324 40309569 53746092 56731986 75642648 80619138 85097979 107492184 113463972 120928707 161238276 170195958 226927944 241857414 255293937 322476552 340391916 483714828 510587874 680783832 765881811 967429656 1021175748 1531763622 2042351496 2297645433 3063527244 4595290866 6127054488 9190581732 18381163464