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15816378368 = 211723972
BaseRepresentation
bin11101011101011101…
…01100100000000000
31111211021022021021102
432232232230200000
5224342443101433
611133235513532
71066641666200
oct165656544000
944737267242
1015816378368
116786a2a18a
123094a588a8
131650a14a8b
14aa0814400
156288244e8
hex3aebac800

15816378368 has 108 divisors (see below), whose sum is σ = 36881203905. Its totient is φ = 6761373696.

The previous prime is 15816378367. The next prime is 15816378397. The reversal of 15816378368 is 86387361851.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15344272384 + 472105984 = 123872^2 + 21728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=88928.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (15816378367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39839546 + ... + 39839942.

Almost surely, 215816378368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15816378368

15816378368 is an abundant number, since it is smaller than the sum of its proper divisors (21064825537).

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

15816378368 is an frugal number, since it uses more digits than its factorization.

15816378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 406 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 56.

The spelling of 15816378368 in words is "fifteen billion, eight hundred sixteen million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 397 448 512 784 794 896 1024 1568 1588 1792 2048 2779 3136 3176 3584 5558 6272 6352 7168 11116 12544 12704 14336 19453 22232 25088 25408 38906 44464 50176 50816 77812 88928 100352 101632 155624 157609 177856 203264 311248 315218 355712 406528 622496 630436 711424 813056 1103263 1244992 1260872 1422848 2206526 2489984 2521744 2845696 4413052 4979968 5043488 5691392 7722841 8826104 9959936 10086976 15445682 17652208 19919872 20173952 30891364 35304416 39839744 40347904 61782728 70608832 80695808 123565456 141217664 161391616 247130912 282435328 322783232 494261824 564870656 988523648 1129741312 1977047296 2259482624 3954094592 7908189184 15816378368