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899454972816 = 243217246492
BaseRepresentation
bin11010001011010111011…
…00011011001110010000
310011222122120012211111100
431011223230123032100
5104214040433112231
61525112013344400
7121661222060001
oct15055354331620
93158576184440
10899454972816
11317502979904
121263a1798100
1366a8389a20a
1431768c6d1a8
15185e476c1e6
hexd16bb1b390

899454972816 has 135 divisors (see below), whose sum is σ = 2674582143571. Its totient is φ = 282121254912.

The previous prime is 899454972743. The next prime is 899454972839. The reversal of 899454972816 is 618279454998.

The square root of 899454972816 is 948396.

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

899454972816 is a `hidden beast` number, since 8 + 9 + 9 + 4 + 549 + 72 + 8 + 1 + 6 = 666.

899454972816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 581467251600 + 317987721216 = 762540^2 + 563904^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193470460 + ... + 193475108.

Almost surely, 2899454972816 is an apocalyptic number.

899454972816 is the 948396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 899454972816

899454972816 is an abundant number, since it is smaller than the sum of its proper divisors (1775127170755).

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

899454972816 is an equidigital number, since it uses as much as digits as its factorization.

899454972816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 4671 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 899454972816 in words is "eight hundred ninety-nine billion, four hundred fifty-four million, nine hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 4649 5202 6936 9298 10404 13872 13947 18596 20808 27894 37192 41616 41841 55788 74384 79033 83682 111576 158066 167364 223152 237099 316132 334728 474198 632264 669456 711297 948396 1264528 1343561 1422594 1896792 2687122 2845188 3793584 4030683 5374244 5690376 8061366 10748488 11380752 12092049 16122732 21496976 21613201 24184098 32245464 43226402 48368196 64490928 64839603 86452804 96736392 129679206 172905608 193472784 194518809 259358412 345811216 367424417 389037618 518716824 734848834 778075236 1037433648 1102273251 1469697668 1556150472 2204546502 2939395336 3112300944 3306819753 4409093004 5878790672 6246215089 6613639506 8818186008 12492430178 13227279012 17636372016 18738645267 24984860356 26454558024 37477290534 49969720712 52909116048 56215935801 74954581068 99939441424 112431871602 149909162136 224863743204 299818324272 449727486408 899454972816