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18828230656 = 222672
BaseRepresentation
bin10001100010010000…
…000000000000000000
31210121011122012220011
4101202100000000000
5302030011340111
612352150154304
71234403214514
oct214220000000
953534565804
1018828230656
117a92055404
123795652994
131a109b8cb1
14ca8824144
15752e5a021
hex462400000

18828230656 has 69 divisors (see below), whose sum is σ = 38226882099. Its totient is φ = 9273606144.

The previous prime is 18828230653. The next prime is 18828230669. The reversal of 18828230656 is 65603282881.

The square root of 18828230656 is 137216.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18828230651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 281018335 + ... + 281018401.

Almost surely, 218828230656 is an apocalyptic number.

18828230656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18828230656 is the 137216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18828230656

18828230656 is an abundant number, since it is smaller than the sum of its proper divisors (19398651443).

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

18828230656 is an frugal number, since it uses more digits than its factorization.

18828230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 18828230656 by its sum of digits (49), we get a square (922583302144 = 9605122).

The spelling of 18828230656 in words is "eighteen billion, eight hundred twenty-eight million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2048 2144 4096 4288 4489 8192 8576 8978 16384 17152 17956 32768 34304 35912 65536 68608 71824 131072 137216 143648 262144 274432 287296 524288 548864 574592 1048576 1097728 1149184 2097152 2195456 2298368 4194304 4390912 4596736 8781824 9193472 17563648 18386944 35127296 36773888 70254592 73547776 140509184 147095552 281018368 294191104 588382208 1176764416 2353528832 4707057664 9414115328 18828230656