Search a number
-
+
18029939148 = 22331327194723
BaseRepresentation
bin10000110010101010…
…110000100111001100
31201112112111210211000
4100302222300213030
5243411131023043
612141032100300
71205540645154
oct206252604714
951475453730
1018029939148
117712481161
1235b2234690
1319144b3960
14c307c1764
15707d1e2d3
hex432ab09cc

18029939148 has 96 divisors (see below), whose sum is σ = 50369177600. Its totient is φ = 5544459072.

The previous prime is 18029939107. The next prime is 18029939167. The reversal of 18029939148 is 84193992081.

18029939148 is a `hidden beast` number, since 180 + 299 + 39 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18029939094 and 18029939103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3815115 + ... + 3819837.

Almost surely, 218029939148 is an apocalyptic number.

18029939148 is a gapful number since it is divisible by the number (18) 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 18029939148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25184588800).

18029939148 is an abundant number, since it is smaller than the sum of its proper divisors (32339238452).

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

18029939148 is a wasteful number, since it uses less digits than its factorization.

18029939148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 18029939148 in words is "eighteen billion, twenty-nine million, nine hundred thirty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2719 4723 5438 8157 9446 10876 14169 16314 18892 24471 28338 32628 35347 42507 48942 56676 61399 70694 73413 85014 97884 106041 122798 127521 141388 146826 170028 184197 212082 245596 255042 293652 318123 368394 424164 510084 552591 636246 736788 954369 1105182 1272492 1657773 1908738 2210364 3315546 3817476 6631092 12841837 25683674 38525511 51367348 77051022 115576533 154102044 166943881 231153066 333887762 346729599 462306132 500831643 667775524 693459198 1001663286 1386918396 1502494929 2003326572 3004989858 4507484787 6009979716 9014969574 18029939148