Search a number
-
+
270343796288 = 2629211344449
BaseRepresentation
bin1111101111000110111…
…1101111011001000000
3221211210201112210012212
43323301233233121000
513412131002440123
6324105541441252
725350241232126
oct3736157573100
9854721483185
10270343796288
11a471a030535
1244489710228
131c654a5a087
14d12862b916
157073d45878
hex3ef1bef640

270343796288 has 84 divisors (see below), whose sum is σ = 560529524100. Its totient is φ = 129352925184.

The previous prime is 270343796257. The next prime is 270343796291. The reversal of 270343796288 is 882697343072.

It can be written as a sum of positive squares in 6 ways, for example, as 2690704384 + 267653091904 = 51872^2 + 517352^2 .

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 11 ways as a sum of consecutive naturals, for example, 6059888 + ... + 6104336.

It is an arithmetic number, because the mean of its divisors is an integer number (6672970525).

Almost surely, 2270343796288 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 270343796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280264762050).

270343796288 is an abundant number, since it is smaller than the sum of its proper divisors (290185727812).

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

270343796288 is a wasteful number, since it uses less digits than its factorization.

270343796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44632 (or 44593 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 59.

The spelling of 270343796288 in words is "two hundred seventy billion, three hundred forty-three million, seven hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 226 232 452 464 841 904 928 1682 1808 1856 3277 3364 3616 6554 6728 7232 13108 13456 26216 26912 44449 52432 53824 88898 95033 104864 177796 190066 209728 355592 380132 711184 760264 1289021 1422368 1520528 2578042 2844736 3041056 5022737 5156084 6082112 10045474 10312168 20090948 20624336 37381609 40181896 41248672 74763218 80363792 82497344 145659373 149526436 160727584 291318746 299052872 321455168 582637492 598105744 1165274984 1196211488 2330549968 2392422976 4224121817 4661099936 8448243634 9322199872 16896487268 33792974536 67585949072 135171898144 270343796288