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270196044560 = 245132815411709
BaseRepresentation
bin1111101110100011110…
…0000111001100010000
3221211102102112012221122
43323220330013030100
513411330141411220
6324043142541412
725343465325101
oct3735074071420
9854372465848
10270196044560
11a4653694472
1244448137868
131c630267610
14d112b6a3a8
157065dac425
hex3ee8f07310

270196044560 has 160 divisors (see below), whose sum is σ = 680589876960. Its totient is φ = 99167846400.

The previous prime is 270196044529. The next prime is 270196044577. The reversal of 270196044560 is 65440691072.

270196044560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 136158048016 + 134037996544 = 368996^2 + 366112^2 .

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 31 ways as a sum of consecutive naturals, for example, 158100986 + ... + 158102694.

It is an arithmetic number, because the mean of its divisors is an integer number (4253686731).

Almost surely, 2270196044560 is an apocalyptic number.

270196044560 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 270196044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340294938480).

270196044560 is an abundant number, since it is smaller than the sum of its proper divisors (410393832400).

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

270196044560 is a wasteful number, since it uses less digits than its factorization.

270196044560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 270196044560 in words is "two hundred seventy billion, one hundred ninety-six million, forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 281 520 541 562 1040 1082 1124 1405 1709 2164 2248 2705 2810 3418 3653 4328 4496 5410 5620 6836 7033 7306 8545 8656 10820 11240 13672 14066 14612 17090 18265 21640 22217 22480 27344 28132 29224 34180 35165 36530 43280 44434 56264 58448 68360 70330 73060 88868 111085 112528 136720 140660 146120 152021 177736 222170 281320 292240 304042 355472 444340 480229 562640 608084 760105 888680 924569 960458 1216168 1520210 1777360 1849138 1920916 1976273 2401145 2432336 3040420 3698276 3841832 3952546 4622845 4802290 6080840 6242977 7396552 7683664 7905092 9245690 9604580 9881365 12019397 12161680 12485954 14793104 15810184 18491380 19209160 19762730 24038794 24971908 31214885 31620368 36982760 38418320 39525460 48077588 49943816 60096985 62429770 73965520 79050920 96155176 99887632 120193970 124859540 158101840 192310352 240387940 249719080 259803889 480775880 499438160 519607778 961551760 1039215556 1299019445 2078431112 2598038890 3377450557 4156862224 5196077780 6754901114 10392155560 13509802228 16887252785 20784311120 27019604456 33774505570 54039208912 67549011140 135098022280 270196044560