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18389805824 = 281319328631
BaseRepresentation
bin10001001000000111…
…100010101100000000
31202110121122221002102
4101020013202230000
5300130242241244
612240445205532
71220500525145
oct211007425400
952417587072
1018389805824
117887625335
1236928608a8
131970c12b10
14c664da3cc
1572970654e
hex4481e2b00

18389805824 has 72 divisors (see below), whose sum is σ = 39737665632. Its totient is φ = 8443330560.

The previous prime is 18389805817. The next prime is 18389805827. The reversal of 18389805824 is 42850898381.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18389805824.

It is not an unprimeable number, because it can be changed into a prime (18389805827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627989 + ... + 656619.

Almost surely, 218389805824 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 18389805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868832816).

18389805824 is an abundant number, since it is smaller than the sum of its proper divisors (21347859808).

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

18389805824 is a wasteful number, since it uses less digits than its factorization.

18389805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28853 (or 28839 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 56.

The spelling of 18389805824 in words is "eighteen billion, three hundred eighty-nine million, eight hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 193 208 256 386 416 772 832 1544 1664 2509 3088 3328 5018 6176 10036 12352 20072 24704 28631 40144 49408 57262 80288 114524 160576 229048 321152 372203 458096 642304 744406 916192 1488812 1832384 2977624 3664768 5525783 5955248 7329536 11051566 11910496 22103132 23820992 44206264 47641984 71835179 88412528 95283968 143670358 176825056 287340716 353650112 574681432 707300224 1149362864 1414600448 2298725728 4597451456 9194902912 18389805824