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10234301705824 = 257312715438501
BaseRepresentation
bin1001010011101101101111…
…1010101110111001100000
31100020101112002020010201211
42110323123322232321200
52320134322214041244
633433323455435504
72104255352106460
oct224733372567140
940211462203654
1010234301705824
113296385561529
121193586b25b94
13593123b08541
142754b2aa7ba0
1512b33e9b0934
hex94edbeaee60

10234301705824 has 96 divisors (see below), whose sum is σ = 23857707589632. Its totient is φ = 4228977600000.

The previous prime is 10234301705779. The next prime is 10234301705827. The reversal of 10234301705824 is 42850710343201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234301705827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837427 + ... + 4601074.

It is an arithmetic number, because the mean of its divisors is an integer number (248517787392).

Almost surely, 210234301705824 is an apocalyptic number.

10234301705824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10234301705824 is an abundant number, since it is smaller than the sum of its proper divisors (13623405883808).

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

10234301705824 is a wasteful number, since it uses less digits than its factorization.

10234301705824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438820 (or 5438812 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 10234301705824 in words is "ten trillion, two hundred thirty-four billion, three hundred one million, seven hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 271 434 496 542 868 992 1084 1736 1897 2168 3472 3794 4336 6944 7588 8401 8672 15176 16802 30352 33604 58807 60704 67208 117614 134416 235228 268832 470456 940912 1881824 5438501 10877002 21754004 38069507 43508008 76139014 87016016 152278028 168593531 174032032 304556056 337187062 609112112 674374124 1180154717 1218224224 1348748248 1473833771 2360309434 2697496496 2947667542 4720618868 5394992992 5895335084 9441237736 10316836397 11790670168 18882475472 20633672794 23581340336 37764950944 41267345588 45688846901 47162680672 82534691176 91377693802 165069382352 182755387604 319821928307 330138764704 365510775208 639643856614 731021550416 1279287713228 1462043100832 2558575426456 5117150852912 10234301705824