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807994193300 = 2252737193316139
BaseRepresentation
bin10111100001000000011…
…01001111010110010100
32212020120111121211120222
423300200031033112110
5101214233003141200
61415104251413512
7112242564216020
oct13604015172624
92766514554528
10807994193300
11291739726518
12110717754298
135b269238778
142b16dd5b380
1516040041d85
hexbc2034f594

807994193300 has 144 divisors (see below), whose sum is σ = 2059175287680. Its totient is φ = 269383242240.

The previous prime is 807994193297. The next prime is 807994193309. The reversal of 807994193300 is 3391499708.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807994193309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50056631 + ... + 50072769.

Almost surely, 2807994193300 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 807994193300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029587643840).

807994193300 is an abundant number, since it is smaller than the sum of its proper divisors (1251181094380).

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

807994193300 is a wasteful number, since it uses less digits than its factorization.

807994193300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18130 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 807994193300 in words is "eight hundred seven billion, nine hundred ninety-four million, one hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 1933 2590 3700 3866 5180 6475 7732 9665 12950 13531 16139 19330 25900 27062 32278 38660 48325 54124 64556 67655 71521 80695 96650 112973 135310 143042 161390 193300 225946 270620 286084 322780 338275 357605 403475 451892 500647 564865 597143 676550 715210 806950 1001294 1129730 1194286 1353100 1430420 1613900 1788025 2002588 2259460 2388572 2503235 2824325 2985715 3576050 4180001 5006470 5648650 5971430 7152100 8360002 10012940 11297300 11942860 12516175 14928575 16720004 20900005 25032350 29857150 31196687 41800010 50064700 59714300 62393374 83600020 104500025 124786748 155983435 209000050 218376809 311966870 418000100 436753618 623933740 779917175 873507236 1091884045 1154277419 1559834350 2183768090 2308554838 3119668700 4367536180 4617109676 5459420225 5771387095 8079941933 10918840450 11542774190 16159883866 21837680900 23085548380 28856935475 32319767732 40399709665 57713870950 80799419330 115427741900 161598838660 201998548325 403997096650 807994193300