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2483584450100 = 2252133834988119
BaseRepresentation
bin100100001001000001001…
…010110011111000110100
322210102120021022020002222
4210021001022303320310
5311142340104400400
65140535402021512
7344301352336355
oct44110112637064
98712507266088
102483584450100
11878311747716
123414034a7898
1315027c8018c0
14882c588dd2c
154490c8d4185
hex242412b3e34

2483584450100 has 72 divisors (see below), whose sum is σ = 5819100887040. Its totient is φ = 914621316480.

The previous prime is 2483584450097. The next prime is 2483584450111. The reversal of 2483584450100 is 10544853842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996160 + ... + 2991959.

Almost surely, 22483584450100 is an apocalyptic number.

2483584450100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2483584450100 is an abundant number, since it is smaller than the sum of its proper divisors (3335516436940).

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

2483584450100 is a wasteful number, since it uses less digits than its factorization.

2483584450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988529 (or 4988522 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 2483584450100 in words is "two trillion, four hundred eighty-three billion, five hundred eighty-four million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 383 650 766 1300 1532 1915 3830 4979 7660 9575 9958 19150 19916 24895 38300 49790 99580 124475 248950 497900 4988119 9976238 19952476 24940595 49881190 64845547 99762380 124702975 129691094 249405950 259382188 324227735 498811900 648455470 1296910940 1621138675 1910449577 3242277350 3820899154 6484554700 7641798308 9552247885 19104495770 24835844501 38208991540 47761239425 49671689002 95522478850 99343378004 124179222505 191044957700 248358445010 496716890020 620896112525 1241792225050 2483584450100