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28194573348552 = 23313157787731369
BaseRepresentation
bin1100110100100100011111…
…00001110110111011001000
310200211101010021221010200210
412122102033201312323020
512143414441234123202
6135544224100201120
75636663545144662
oct632221741667310
9120741107833623
1028194573348552
118a90284695966
1231b43696991a0
131296976b550b0
146d68a5db9532
1533d613b3dc6c
hex19a48f876ec8

28194573348552 has 128 divisors (see below), whose sum is σ = 76489132003200. Its totient is φ = 8609032194048.

The previous prime is 28194573348521. The next prime is 28194573348553. The reversal of 28194573348552 is 25584337549182.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28194573348553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38184724 + ... + 38916092.

It is an arithmetic number, because the mean of its divisors is an integer number (597571343775).

Almost surely, 228194573348552 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 28194573348552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38244566001600).

28194573348552 is an abundant number, since it is smaller than the sum of its proper divisors (48294558654648).

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

28194573348552 is a wasteful number, since it uses less digits than its factorization.

28194573348552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732335 (or 732331 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 66.

The spelling of 28194573348552 in words is "twenty-eight trillion, one hundred ninety-four billion, five hundred seventy-three million, three hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 787 942 1256 1574 1884 2041 2361 3148 3768 4082 4722 6123 6296 8164 9444 10231 12246 16328 18888 20462 24492 30693 40924 48984 61386 81848 122772 123559 245544 247118 370677 494236 731369 741354 988472 1462738 1482708 1606267 2194107 2925476 2965416 3212534 4388214 4818801 5850952 6425068 8776428 9507797 9637602 12850136 17552856 19015594 19275204 28523391 38031188 38550408 57046782 76062376 114093564 114824933 228187128 229649866 344474799 459299732 575587403 688949598 918599464 1151174806 1377899196 1492724129 1726762209 2302349612 2755798392 2985448258 3453524418 4478172387 4604699224 5970896516 6907048836 7482636239 8956344774 11941793032 13814097672 14965272478 17912689548 22447908717 29930544956 35825379096 44895817434 59861089912 89791634868 90367222271 179583269736 180734444542 271101666813 361468889084 542203333626 722937778168 1084406667252 1174773889523 2168813334504 2349547779046 3524321668569 4699095558092 7048643337138 9398191116184 14097286674276 28194573348552