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18147322944 = 263418712
BaseRepresentation
bin10000111001101010…
…100010110001000000
31201211201101112010000
4100321222202301000
5244131203313234
612200424040000
71211464462032
oct207152426100
951751345100
1018147322944
117772766363
123625603000
131932902b1a
14c42219c52
157132a9899
hex439aa2c40

18147322944 has 105 divisors (see below), whose sum is σ = 53823117271. Its totient is φ = 6045874560.

The previous prime is 18147322939. The next prime is 18147322957. The reversal of 18147322944 is 44922374181.

The square root of 18147322944 is 134712.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18147322944.

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 14 ways as a sum of consecutive naturals, for example, 9698329 + ... + 9700199.

Almost surely, 218147322944 is an apocalyptic number.

18147322944 is the 134712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18147322944

18147322944 is an abundant number, since it is smaller than the sum of its proper divisors (35675794327).

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

18147322944 is an frugal number, since it uses more digits than its factorization.

18147322944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 1876 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 18147322944 in words is "eighteen billion, one hundred forty-seven million, three hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1871 2592 3742 5184 5613 7484 11226 14968 16839 22452 29936 33678 44904 50517 59872 67356 89808 101034 119744 134712 151551 179616 202068 269424 303102 359232 404136 538848 606204 808272 1077696 1212408 1616544 2424816 3233088 3500641 4849632 7001282 9699264 10501923 14002564 21003846 28005128 31505769 42007692 56010256 63011538 84015384 94517307 112020512 126023076 168030768 189034614 224041024 252046152 283551921 336061536 378069228 504092304 567103842 672123072 756138456 1008184608 1134207684 1512276912 2016369216 2268415368 3024553824 4536830736 6049107648 9073661472 18147322944