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245114205024 = 25313792486147
BaseRepresentation
bin1110010001000111110…
…0011111001101100000
3212102200102121202101210
43210101330133031200
513003443214030044
6304334240030120
723465105236353
oct3442174371540
9772612552353
10245114205024
1194a52640167
123b608302340
131a163aa8650
14bc1399c29a
156598e211b9
hex3911f1f360

245114205024 has 96 divisors (see below), whose sum is σ = 701690411520. Its totient is φ = 74465044992.

The previous prime is 245114204911. The next prime is 245114205053. The reversal of 245114205024 is 420502411542.

245114205024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 245114204982 and 245114205000.

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, 1144482 + ... + 1341665.

It is an arithmetic number, because the mean of its divisors is an integer number (7309275120).

Almost surely, 2245114205024 is an apocalyptic number.

245114205024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245114205024 is an abundant number, since it is smaller than the sum of its proper divisors (456576206496).

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

245114205024 is a wasteful number, since it uses less digits than its factorization.

245114205024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486252 (or 2486244 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 245114205024 its reverse (420502411542), we get a palindrome (665616616566).

The spelling of 245114205024 in words is "two hundred forty-five billion, one hundred fourteen million, two hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 1027 1248 1264 1896 2054 2528 3081 3792 4108 6162 7584 8216 12324 16432 24648 32864 49296 98592 2486147 4972294 7458441 9944588 14916882 19889176 29833764 32319911 39778352 59667528 64639822 79556704 96959733 119335056 129279644 193919466 196405613 238670112 258559288 387838932 392811226 517118576 589216839 775677864 785622452 1034237152 1178433678 1551355728 1571244904 2356867356 2553272969 3102711456 3142489808 4713734712 5106545938 6284979616 7659818907 9427469424 10213091876 15319637814 18854938848 20426183752 30639275628 40852367504 61278551256 81704735008 122557102512 245114205024