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123994848768 = 293719606961
BaseRepresentation
bin111001101111010101…
…0110011111000000000
3102212001102011221210020
41303132222303320000
54012420140130033
6132543515533440
711646464552550
oct1633652637000
9385042157706
10123994848768
114864995012a
122004575a280
13b900a241cb
146003b19160
15335aa5e6b3
hex1cdeab3e00

123994848768 has 160 divisors (see below), whose sum is σ = 397390160640. Its totient is φ = 33562460160.

The previous prime is 123994848739. The next prime is 123994848827. The reversal of 123994848768 is 867848499321.

123994848768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1239948487682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99193 + ... + 507768.

It is an arithmetic number, because the mean of its divisors is an integer number (2483688504).

Almost surely, 2123994848768 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 123994848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198695080320).

123994848768 is an abundant number, since it is smaller than the sum of its proper divisors (273395311872).

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

123994848768 is an equidigital number, since it uses as much as digits as its factorization.

123994848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607008 (or 606992 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 123994848768 in words is "one hundred twenty-three billion, nine hundred ninety-four million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 204288 606961 1213922 1820883 2427844 3641766 4248727 4855688 7283532 8497454 9711376 11532259 12746181 14567064 16994908 19422752 23064518 25492362 29134128 33989816 34596777 38845504 46129036 50984724 58268256 67979632 69193554 77691008 80725813 92258072 101969448 116536512 135959264 138387108 155382016 161451626 184516144 203938896 233073024 242177439 271918528 276774216 310764032 322903252 369032288 407877792 466146048 484354878 543837056 553548432 645806504 738064576 815755584 932292096 968709756 1087674112 1107096864 1291613008 1476129152 1631511168 1937419512 2175348224 2214193728 2583226016 2952258304 3263022336 3874839024 4428387456 5166452032 5904516608 6526044672 7749678048 8856774912 10332904064 15499356096 17713549824 20665808128 30998712192 41331616256 61997424384 123994848768