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463424255560112 = 2471114914783170773
BaseRepresentation
bin110100101011110110101111…
…0001000100000100110110000
32020202211221000011121101211012
41221113231132020200212300
5441220220333410410422
64321342055230010052
7166420204032036650
oct15127553610404660
92222757004541735
10463424255560112
11124730139900120
1243b86885646928
1316b779484a1bb2
148261bd459c360
153889add4914e2
hex1a57b5e2209b0

463424255560112 has 160 divisors (see below), whose sum is σ = 1127036265062400. Its totient is φ = 179329945052160.

The previous prime is 463424255560109. The next prime is 463424255560127. The reversal of 463424255560112 is 211065552424364.

It is an unprimeable number.

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, 2713600358 + ... + 2713771130.

It is an arithmetic number, because the mean of its divisors is an integer number (7043976656640).

Almost surely, 2463424255560112 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 463424255560112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563518132531200).

463424255560112 is an abundant number, since it is smaller than the sum of its proper divisors (663612009502288).

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

463424255560112 is a wasteful number, since it uses less digits than its factorization.

463424255560112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185731 (or 185725 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

The spelling of 463424255560112 in words is "four hundred sixty-three trillion, four hundred twenty-four billion, two hundred fifty-five million, five hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 149 154 176 298 308 596 616 1043 1192 1232 1639 2086 2384 3278 4172 6556 8344 11473 13112 14783 16688 22946 26224 29566 45892 59132 91784 103481 118264 162613 170773 183568 206962 236528 325226 341546 413924 650452 683092 827848 1138291 1195411 1300904 1366184 1655696 1878503 2202667 2276582 2390822 2601808 2732368 3757006 4405334 4553164 4781644 7514012 8810668 9106328 9563288 13149521 15028024 15418669 17621336 18212656 19126576 24229337 25445177 26299042 30056048 30837338 35242672 48458674 50890354 52598084 61674676 96917348 101780708 105196168 123349352 169605359 178116239 193834696 203561416 210392336 246698704 279896947 339210718 356232478 387669392 407122832 559793894 678421436 712464956 1119587788 1356842872 1424929912 1959278629 2239175576 2524537259 2713685744 2849859824 3918557258 4478351152 5049074518 7837114516 10098149036 15674229032 17671760813 20196298072 27769909849 31348458064 35343521626 40392596144 55539819698 70687043252 111079639396 141374086504 194389368943 222159278792 282748173008 376156051591 388778737886 444318557584 752312103182 777557475772 1504624206364 1555114951544 2633092361137 3009248412728 3110229903088 4137716567501 5266184722274 6018496825456 8275433135002 10532369444548 16550866270004 21064738889096 28964015972507 33101732540008 42129477778192 57928031945014 66203465080016 115856063890028 231712127780056 463424255560112