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18850848768 = 2133428409
BaseRepresentation
bin10001100011100110…
…010010000000000000
31210122202012100010000
4101203212102000000
5302101304130033
612354315040000
71235066366523
oct214346220000
953582170100
1018850848768
117aa38a3764
1237a1140000
131a155a7cab
14cab830bba
15754e26a13
hex463992000

18850848768 has 140 divisors (see below), whose sum is σ = 56318364630. Its totient is φ = 6283395072.

The previous prime is 18850848761. The next prime is 18850848787. The reversal of 18850848768 is 86784805881.

18850848768 is a `hidden beast` number, since 1 + 88 + 508 + 48 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15052345344 + 3798503424 = 122688^2 + 61632^2 .

It is not an unprimeable number, because it can be changed into a prime (18850848761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 649348 + ... + 677756.

Almost surely, 218850848768 is an apocalyptic number.

18850848768 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 18850848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159182315).

18850848768 is an abundant number, since it is smaller than the sum of its proper divisors (37467515862).

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

18850848768 is an frugal number, since it uses more digits than its factorization.

18850848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28447 (or 28414 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 18850848768 in words is "eighteen billion, eight hundred fifty million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 18432 20736 24576 27648 28409 36864 41472 55296 56818 73728 82944 85227 110592 113636 165888 170454 221184 227272 255681 331776 340908 454544 511362 663552 681816 767043 909088 1022724 1363632 1534086 1818176 2045448 2301129 2727264 3068172 3636352 4090896 4602258 5454528 6136344 7272704 8181792 9204516 10909056 12272688 14545408 16363584 18409032 21818112 24545376 29090816 32727168 36818064 43636224 49090752 58181632 65454336 73636128 87272448 98181504 116363264 130908672 147272256 174544896 196363008 232726528 261817344 294544512 349089792 392726016 523634688 589089024 698179584 785452032 1047269376 1178178048 1570904064 2094538752 2356356096 3141808128 4712712192 6283616256 9425424384 18850848768