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245342324112432 = 243291792813504079
BaseRepresentation
bin110111110010001100110110…
…000100111011110000110000
31012011200111102101212220102220
4313302030312010323300300
5224124142034433044212
62225444412512041040
7102451253335156011
oct6762146604736060
91164614371786386
10245342324112432
11711a010599a298
1223624b9bb33180
13a6b88b31670c1
1444828bbadd008
151d56db470938c
hexdf233613bc30

245342324112432 has 160 divisors (see below), whose sum is σ = 661665614976000. Its totient is φ = 78240174888960.

The previous prime is 245342324112401. The next prime is 245342324112451. The reversal of 245342324112432 is 234211423243542.

245342324112432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68264169 + ... + 71768247.

It is an arithmetic number, because the mean of its divisors is an integer number (4135410093600).

Almost surely, 2245342324112432 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 245342324112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330832807488000).

245342324112432 is an abundant number, since it is smaller than the sum of its proper divisors (416323290863568).

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

245342324112432 is a wasteful number, since it uses less digits than its factorization.

245342324112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504579 (or 3504573 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

Adding to 245342324112432 its reverse (234211423243542), we get a palindrome (479553747355974).

The spelling of 245342324112432 in words is "two hundred forty-five trillion, three hundred forty-two billion, three hundred twenty-four million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 179 232 281 348 358 464 537 562 696 716 843 1074 1124 1392 1432 1686 2148 2248 2864 3372 4296 4496 5191 6744 8149 8592 10382 13488 15573 16298 20764 24447 31146 32596 41528 48894 50299 62292 65192 83056 97788 100598 124584 130384 150897 195576 201196 249168 301794 391152 402392 603588 804784 1207176 1458671 2414352 2917342 3504079 4376013 5834684 7008158 8752026 10512237 11669368 14016316 17504052 21024474 23338736 28032632 35008104 42048948 56065264 70016208 84097896 101618291 168195792 203236582 304854873 406473164 609709746 627230141 812946328 984646199 1219419492 1254460282 1625892656 1881690423 1969292398 2438838984 2508920564 2953938597 3763380846 3938584796 4877677968 5017841128 5907877194 7526761692 7877169592 10035682256 11815754388 15053523384 15754339184 18189674089 23631508776 28554739771 30107046768 36379348178 47263017552 54569022267 57109479542 72758696356 85664219313 109138044534 114218959084 145517392712 171328438626 176251669621 218276089068 228437918168 291034785424 342656877252 352503339242 436552178136 456875836336 528755008863 685313754504 705006678484 873104356272 1057510017726 1370627509008 1410013356968 2115020035452 2820026713936 4230040070904 5111298419009 8460080141808 10222596838018 15333895257027 20445193676036 30667790514054 40890387352072 61335581028108 81780774704144 122671162056216 245342324112432