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28901360016 = 24323124572
BaseRepresentation
bin11010111010101001…
…111100000110010000
32202121012000012122100
4122322221330012100
5433142222010031
621135504240400
72042126335554
oct327251740620
982535005570
1028901360016
1111291078601
125727010100
13295789c479
141582581864
15b42460de6
hex6baa7c190

28901360016 has 135 divisors (see below), whose sum is σ = 83760265953. Its totient is φ = 9302618880.

The previous prime is 28901359999. The next prime is 28901360021. The reversal of 28901360016 is 61006310982.

The square root of 28901360016 is 170004.

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

28901360016 is a `hidden beast` number, since 28 + 9 + 0 + 13 + 600 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24995610000 + 3905750016 = 158100^2 + 62496^2 .

It is a super-2 number, since 2×289013600162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63241260 + ... + 63241716.

Almost surely, 228901360016 is an apocalyptic number.

28901360016 is the 170004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28901360016

28901360016 is an abundant number, since it is smaller than the sum of its proper divisors (54858905937).

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

28901360016 is an equidigital number, since it uses as much as digits as its factorization.

28901360016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 28901360016 by its sum of digits (36), we get a square (1040448960576 = 10200242).

28901360016 divided by its sum of digits (36) gives a square (802815556 = 283342).

Adding to 28901360016 its reverse (61006310982), we get a palindrome (89907670998).

The spelling of 28901360016 in words is "twenty-eight billion, nine hundred one million, three hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 457 496 558 744 914 961 1116 1371 1488 1828 1922 2232 2742 2883 3656 3844 4113 4464 5484 5766 7312 7688 8226 8649 10968 11532 14167 15376 16452 17298 21936 23064 28334 32904 34596 42501 46128 56668 65808 69192 85002 113336 127503 138384 170004 208849 226672 255006 340008 417698 439177 510012 626547 680016 835396 878354 1020024 1253094 1317531 1670792 1756708 1879641 2040048 2506188 2635062 3341584 3513416 3759282 3952593 5012376 5270124 6474319 7026832 7518564 7905186 10024752 10540248 12948638 15037128 15810372 19422957 21080496 25897276 30074256 31620744 38845914 51794552 58268871 63241488 77691828 103589104 116537742 155383656 200703889 233075484 310767312 401407778 466150968 602111667 802815556 932301936 1204223334 1605631112 1806335001 2408446668 3211262224 3612670002 4816893336 7225340004 9633786672 14450680008 28901360016