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270482340996 = 2232719132742571
BaseRepresentation
bin1111101111101000000…
…0001111110010000100
3221212011101020120211100
43323322000033302010
513412421434402441
6324131411140100
725353542651430
oct3737200176204
9855141216740
10270482340996
11a479025919a
1244507ba4630
131c677677baa
14d13cbb39c0
1570810b0cb6
hex3efa00fc84

270482340996 has 144 divisors (see below), whose sum is σ = 823158568960. Its totient is φ = 73156374720.

The previous prime is 270482340983. The next prime is 270482341037. The reversal of 270482340996 is 699043284072.

270482340996 is a `hidden beast` number, since 2 + 70 + 4 + 82 + 3 + 409 + 96 = 666.

270482340996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6332391 + ... + 6374961.

Almost surely, 2270482340996 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 270482340996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411579284480).

270482340996 is an abundant number, since it is smaller than the sum of its proper divisors (552676227964).

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

270482340996 is a wasteful number, since it uses less digits than its factorization.

270482340996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43934 (or 43929 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 270482340996 in words is "two hundred seventy billion, four hundred eighty-two million, three hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1327 1596 2394 2654 3981 4788 5308 7962 9289 11943 15924 18578 23886 25213 27867 37156 42571 47772 50426 55734 75639 83601 85142 100852 111468 127713 151278 167202 170284 176491 226917 255426 297997 302556 334404 352982 383139 453834 510852 529473 595994 705964 766278 808849 893991 907668 1058946 1191988 1532556 1588419 1617698 1787982 2117892 2426547 2681973 3176838 3235396 3575964 4853094 5363946 5661943 6353676 7279641 9706188 10727892 11323886 14559282 16985829 22647772 29118564 33971658 50957487 56491717 67943316 101914974 112983434 169475151 203829948 225966868 338950302 395442019 508425453 677900604 790884038 1016850906 1073342623 1186326057 1581768076 2033701812 2146685246 2372652114 3220027869 3558978171 4293370492 4745304228 6440055738 7117956342 7513398361 9660083607 12880111476 14235912684 15026796722 19320167214 22540195083 30053593444 38640334428 45080390166 67620585249 90160780332 135241170498 270482340996