Search a number
-
+
73779785480 = 23523316142409
BaseRepresentation
bin100010010110110011…
…1100010111100001000
321001102211200102210102
41010231213202330020
52202100111113410
653521032504532
75221221554252
oct1045547427410
9231384612712
1073779785480
1129320846925
121237084b148
136c5a554acb
1437dca04cd2
151dbc3872a5
hex112d9e2f08

73779785480 has 128 divisors (see below), whose sum is σ = 181745510400. Its totient is φ = 26869708800.

The previous prime is 73779785467. The next prime is 73779785531. The reversal of 73779785480 is 8458797737.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1718516 + ... + 1760924.

It is an arithmetic number, because the mean of its divisors is an integer number (1419886800).

Almost surely, 273779785480 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 73779785480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90872755200).

73779785480 is an abundant number, since it is smaller than the sum of its proper divisors (107965724920).

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

73779785480 is a wasteful number, since it uses less digits than its factorization.

73779785480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42535 (or 42531 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 65.

The spelling of 73779785480 in words is "seventy-three billion, seven hundred seventy-nine million, seven hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 61 62 92 115 122 124 155 184 230 244 248 305 310 460 488 610 620 713 920 1220 1240 1403 1426 1891 2440 2806 2852 3565 3782 5612 5704 7015 7130 7564 9455 11224 14030 14260 15128 18910 28060 28520 37820 42409 43493 56120 75640 84818 86986 169636 173972 212045 217465 339272 347944 424090 434930 848180 869860 975407 1314679 1696360 1739720 1950814 2586949 2629358 3901628 4877035 5173898 5258716 6573395 7803256 9754070 10347796 10517432 12934745 13146790 19508140 20695592 25869490 26293580 30237617 39016280 51738980 52587160 59499827 60475234 80195419 103477960 118999654 120950468 151188085 160390838 237999308 241900936 297499135 302376170 320781676 400977095 475998616 594998270 604752340 641563352 801954190 1189996540 1209504680 1603908380 1844494637 2379993080 3207816760 3688989274 7377978548 9222473185 14755957096 18444946370 36889892740 73779785480