Search a number
-
+
67040744070 = 235471074311031
BaseRepresentation
bin111110011011111100…
…001001001010000110
320102001011222122220010
4332123330021022012
52044244412302240
650444215451050
74562221631226
oct763374111206
9212034878803
1067040744070
1126482830313
1210bab986a86
13642532a541
14335d9b8086
151b25919280
hexf9bf09286

67040744070 has 128 divisors (see below), whose sum is σ = 166402916352. Its totient is φ = 17276643200.

The previous prime is 67040744041. The next prime is 67040744101. The reversal of 67040744070 is 7044704076.

It is a super-2 number, since 2×670407440702 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 65024455 + ... + 65025485.

It is an arithmetic number, because the mean of its divisors is an integer number (1300022784).

Almost surely, 267040744070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67040744070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83201458176).

67040744070 is an abundant number, since it is smaller than the sum of its proper divisors (99362172282).

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

67040744070 is a wasteful number, since it uses less digits than its factorization.

67040744070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626.

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 67040744070 in words is "sixty-seven billion, forty million, seven hundred forty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 107 141 214 235 282 321 431 470 535 642 705 862 1031 1070 1293 1410 1605 2062 2155 2586 3093 3210 4310 5029 5155 6186 6465 10058 10310 12930 15087 15465 20257 25145 30174 30930 40514 46117 48457 50290 60771 75435 92234 96914 101285 110317 121542 138351 145371 150870 202570 220634 230585 242285 276702 290742 303855 330951 444361 461170 484570 551585 607710 661902 691755 726855 888722 1103170 1333083 1383510 1453710 1654755 2167499 2221805 2666166 3309510 4334998 4443610 5184899 6502497 6665415 10369798 10837495 13004994 13330830 15554697 20884967 21674990 25924495 31109394 32512485 41769934 47546627 51848990 62654901 65024970 77773485 95093254 104424835 125309802 142639881 155546970 208849670 237733135 285279762 313274505 475466270 626549010 713199405 1426398810 2234691469 4469382938 6704074407 11173457345 13408148814 22346914690 33520372035 67040744070