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186768051488 = 2524123172
BaseRepresentation
bin1010110111110000111…
…1100100110100100000
3122212002012001001111022
42231330033210310200
511030000110121423
6221444451305012
716331200146434
oct2557417446440
9585065031438
10186768051488
1172231772467
12302442ab168
13147c5b88345
14907aa189c4
154cd19a6dc8
hex2b7c3e4d20

186768051488 has 54 divisors (see below), whose sum is σ = 370400099643. Its totient is φ = 92703175680.

The previous prime is 186768051487. The next prime is 186768051499. The reversal of 186768051488 is 884150867681.

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.

186768051488 is digitally balanced in base 2 and base 3, 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 5 ways, for example, as 43408889104 + 143359162384 = 208348^2 + 378628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=305588.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 186768051488.

It is not an unprimeable number, because it can be changed into a prime (186768051487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 589173506 + ... + 589173822.

Almost surely, 2186768051488 is an apocalyptic number.

It is an amenable number.

186768051488 is a deficient number, since it is larger than the sum of its proper divisors (183632048155).

186768051488 is an frugal number, since it uses more digits than its factorization.

186768051488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 62.

The spelling of 186768051488 in words is "one hundred eighty-six billion, seven hundred sixty-eight million, fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 241 317 482 634 964 1268 1928 2536 3856 5072 7712 10144 58081 76397 100489 116162 152794 200978 232324 305588 401956 464648 611176 803912 929296 1222352 1607824 1858592 2444704 3215648 18411677 24217849 36823354 48435698 73646708 96871396 147293416 193742792 294586832 387485584 589173664 774971168 5836501609 11673003218 23346006436 46692012872 93384025744 186768051488