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245323352042000 = 24533726153126761
BaseRepresentation
bin110111110001111011001011…
…010000001110101000010000
31012011121200110012120212110122
4313301323023100032220100
5224123334211110321000
62225431554142445412
7102450012234216221
oct6761731320165020
91164550405525418
10245323352042000
117119305a72aa41
1223621386293868
13a6b6b7b72811b
1444819dc155248
151d56653d3a085
hexdf1ecb40ea10

245323352042000 has 160 divisors (see below), whose sum is σ = 609252178695264. Its totient is φ = 95472792576000.

The previous prime is 245323352041883. The next prime is 245323352042113. The reversal of 245323352042000 is 240253323542.

It can be written as a sum of positive squares in 16 ways, for example, as 79243325104384 + 166080026937616 = 8901872^2 + 12887204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935258620 + ... + 1935385380.

Almost surely, 2245323352042000 is an apocalyptic number.

245323352042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245323352042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304626089347632).

245323352042000 is an abundant number, since it is smaller than the sum of its proper divisors (363928826653264).

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

245323352042000 is a wasteful number, since it uses less digits than its factorization.

245323352042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152974 (or 152958 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 245323352042000 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred fifty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 26153 37000 52306 74000 104612 126761 130765 209224 253522 261530 418448 507044 523060 633805 653825 967661 1014088 1046120 1267610 1307650 1935322 2028176 2092240 2535220 2615300 3169025 3269125 3870644 4690157 4838305 5070440 5230600 6338050 6538250 7741288 9380314 9676610 10140880 10461200 12676100 13076500 15482576 15845125 18760628 19353220 23450785 24191525 25352200 26153000 31690250 37521256 38706440 46901570 48383050 50704400 52306000 63380500 75042512 77412880 93803140 96766100 117253925 120957625 126761000 187606280 193532200 234507850 241915250 253522000 375212560 387064400 469015700 483830500 586269625 938031400 967661000 1172539250 1876062800 1935322000 2345078500 3315180433 4690157000 6630360866 9380314000 13260721732 16575902165 26521443464 33151804330 53042886928 66303608660 82879510825 122661676021 132607217320 165759021650 245323352042 265214434640 331518043300 414397554125 490646704084 613308380105 663036086600 828795108250 981293408168 1226616760210 1326072173200 1657590216500 1962586816336 2453233520420 3066541900525 3315180433000 4906467040840 6133083801050 6630360866000 9812934081680 12266167602100 15332709502625 24532335204200 30665419005250 49064670408400 61330838010500 122661676021000 245323352042000