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18069457152 = 283179131441
BaseRepresentation
bin10000110101000001…
…100000100100000000
31201122021212112022210
4100311001200210000
5244001240112102
612145003102120
71206530565045
oct206501404400
951567775283
1018069457152
11773281266a
123603511940
13191c73bca6
14c35b4b1cc
1570b52836c
hex435060900

18069457152 has 72 divisors (see below), whose sum is σ = 48360140640. Its totient is φ = 5989457920.

The previous prime is 18069457151. The next prime is 18069457157. The reversal of 18069457152 is 25175496081.

It is a happy number.

It is a super-2 number, since 2×180694571522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18069457151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71752 + ... + 203192.

It is an arithmetic number, because the mean of its divisors is an integer number (671668620).

Almost surely, 218069457152 is an apocalyptic number.

18069457152 is a gapful number since it is divisible by the number (12) 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 18069457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180070320).

18069457152 is an abundant number, since it is smaller than the sum of its proper divisors (30290683488).

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

18069457152 is a wasteful number, since it uses less digits than its factorization.

18069457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131639 (or 131625 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 18069457152 in words is "eighteen billion, sixty-nine million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 537 716 768 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 45824 68736 131441 137472 262882 394323 525764 788646 1051528 1577292 2103056 3154584 4206112 6309168 8412224 12618336 16824448 23527939 25236672 33648896 47055878 50473344 70583817 94111756 100946688 141167634 188223512 282335268 376447024 564670536 752894048 1129341072 1505788096 2258682144 3011576192 4517364288 6023152384 9034728576 18069457152