Search a number
-
+
60139743402880 = 275792719437467
BaseRepresentation
bin11011010110010011000000…
…00010101101101110000000
321212221022012010020220122101
431223021200002231232000
530340312143302343010
6331523452224320144
715444644622315241
oct1553114002555600
9255838163226571
1060139743402880
1118187138347009
1268b359a473054
1327731cc22b06b
1410bcac9c4ccc8
156e458ceda73a
hex36b2600adb80

60139743402880 has 128 divisors (see below), whose sum is σ = 145645346304000. Its totient is φ = 23742602717184.

The previous prime is 60139743402829. The next prime is 60139743402887. The reversal of 60139743402880 is 8820434793106.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60139743402887) 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, 137253907 + ... + 137691373.

It is an arithmetic number, because the mean of its divisors is an integer number (1137854268000).

Almost surely, 260139743402880 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 60139743402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72822673152000).

60139743402880 is an abundant number, since it is smaller than the sum of its proper divisors (85505602901120).

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

60139743402880 is a wasteful number, since it uses less digits than its factorization.

60139743402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440284 (or 440272 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 60139743402880 in words is "sixty trillion, one hundred thirty-nine billion, seven hundred forty-three million, four hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 2719 3160 5056 5438 6320 10112 10876 12640 13595 21752 25280 27190 43504 50560 54380 87008 108760 174016 214801 217520 348032 429602 435040 437467 859204 870080 874934 1074005 1718408 1740160 1749868 2148010 2187335 3436816 3499736 4296020 4374670 6873632 6999472 8592040 8749340 13747264 13998944 17184080 17498680 27494528 27997888 34368160 34559893 34997360 55995776 68736320 69119786 69994720 137472640 138239572 139989440 172799465 276479144 279978880 345598930 552958288 691197860 1105916576 1189472773 1382395720 2211833152 2378945546 2764791440 4423666304 4757891092 5529582880 5947363865 9515782184 11059165760 11894727730 19031564368 22118331520 23789455460 38063128736 47578910920 76126257472 93968349067 95157821840 152252514944 187936698134 190315643680 375873396268 380631287360 469841745335 751746792536 761262574720 939683490670 1503493585072 1879366981340 3006987170144 3758733962680 6013974340288 7517467925360 12027948680576 15034935850720 30069871701440 60139743402880