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270482341056 = 26319925312797
BaseRepresentation
bin1111101111101000000…
…0001111110011000000
3221212011101020120220120
43323322000033303000
513412421434403211
6324131411140240
725353542651544
oct3737200176300
9855141216816
10270482341056
11a4790259244
1244507ba4680
131c677677c25
14d13cbb3a24
1570810b0d06
hex3efa00fcc0

270482341056 has 112 divisors (see below), whose sum is σ = 719788857600. Its totient is φ = 89640207360.

The previous prime is 270482341039. The next prime is 270482341057. The reversal of 270482341056 is 650143284072.

270482341056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 270482340999 and 270482341017.

It is not an unprimeable number, because it can be changed into a prime (270482341057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96703050 + ... + 96705846.

Almost surely, 2270482341056 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 270482341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359894428800).

270482341056 is an abundant number, since it is smaller than the sum of its proper divisors (449306516544).

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

270482341056 is a wasteful number, since it uses less digits than its factorization.

270482341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 270482341056 in words is "two hundred seventy billion, four hundred eighty-two million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 2531 2797 3184 4776 5062 5594 6368 7593 8391 9552 10124 11188 12736 15186 16782 19104 20248 22376 30372 33564 38208 40496 44752 60744 67128 80992 89504 121488 134256 161984 179008 242976 268512 485952 503669 537024 556603 1007338 1113206 1511007 1669809 2014676 2226412 3022014 3339618 4029352 4452824 6044028 6679236 7079207 8058704 8905648 12088056 13358472 14158414 16117408 17811296 21237621 24176112 26716944 28316828 32234816 35622592 42475242 48352224 53433888 56633656 84950484 96704448 106867776 113267312 169900968 226534624 339801936 453069248 679603872 1359207744 1408762193 2817524386 4226286579 5635048772 8452573158 11270097544 16905146316 22540195088 33810292632 45080390176 67620585264 90160780352 135241170528 270482341056