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18069811776 = 263418672
BaseRepresentation
bin10000110101000010…
…110111001001000000
31201122022112112210000
4100311002313021000
5244001332434101
612145014440000
71206533602662
oct206502671100
951568475700
1018069811776
117732a35045
123603663000
13191c834523
14c35c00532
1570b598486
hex4350b7240

18069811776 has 105 divisors (see below), whose sum is σ = 53593288419. Its totient is φ = 6020044416.

The previous prime is 18069811769. The next prime is 18069811789. The reversal of 18069811776 is 67711896081.

The square root of 18069811776 is 134424.

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

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

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, 9677595 + ... + 9679461.

Almost surely, 218069811776 is an apocalyptic number.

18069811776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18069811776 is the 134424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18069811776

18069811776 is an abundant number, since it is smaller than the sum of its proper divisors (35523476643).

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

18069811776 is an frugal number, since it uses more digits than its factorization.

18069811776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 18069811776 in words is "eighteen billion, sixty-nine million, eight hundred eleven thousand, seven hundred seventy-six".

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 1867 2592 3734 5184 5601 7468 11202 14936 16803 22404 29872 33606 44808 50409 59744 67212 89616 100818 119488 134424 151227 179232 201636 268848 302454 358464 403272 537696 604908 806544 1075392 1209816 1613088 2419632 3226176 3485689 4839264 6971378 9678528 10457067 13942756 20914134 27885512 31371201 41828268 55771024 62742402 83656536 94113603 111542048 125484804 167313072 188227206 223084096 250969608 282340809 334626144 376454412 501939216 564681618 669252288 752908824 1003878432 1129363236 1505817648 2007756864 2258726472 3011635296 4517452944 6023270592 9034905888 18069811776