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204642070240 = 2553894098039
BaseRepresentation
bin1011111010010110011…
…1100010111011100000
3201120012212011021201211
42332211213202323200
511323101332221430
6234002233435504
720533135616326
oct2764547427340
9646185137654
10204642070240
1179874128293
12337b226bb94
13163b3c793ba
149c9480dd16
1554cac7772a
hex2fa59e2ee0

204642070240 has 96 divisors (see below), whose sum is σ = 485955288000. Its totient is φ = 81436643328.

The previous prime is 204642070109. The next prime is 204642070319. The reversal of 204642070240 is 42070246402.

It is a super-2 number, since 2×2046420702402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25452141 + ... + 25460179.

It is an arithmetic number, because the mean of its divisors is an integer number (5062034250).

Almost surely, 2204642070240 is an apocalyptic number.

204642070240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204642070240 is an abundant number, since it is smaller than the sum of its proper divisors (281313217760).

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

204642070240 is a wasteful number, since it uses less digits than its factorization.

204642070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The spelling of 204642070240 in words is "two hundred four billion, six hundred forty-two million, seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 389 409 778 818 1556 1636 1945 2045 3112 3272 3890 4090 6224 6544 7780 8039 8180 12448 13088 15560 16078 16360 31120 32156 32720 40195 62240 64312 65440 80390 128624 159101 160780 257248 318202 321560 636404 643120 795505 1272808 1286240 1591010 2545616 3127171 3182020 3287951 5091232 6254342 6364040 6575902 12508684 12728080 13151804 15635855 16439755 25017368 25456160 26303608 31271710 32879510 50034736 52607216 62543420 65759020 100069472 105214432 125086840 131518040 250173680 263036080 500347360 526072160 1279012939 2558025878 5116051756 6395064695 10232103512 12790129390 20464207024 25580258780 40928414048 51160517560 102321035120 204642070240