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74286016280 = 2357793798861
BaseRepresentation
bin100010100101111001…
…0101010011100011000
321002202010020121220022
41011023302222130120
52204114210010110
654043155050012
75236606501640
oct1051362523430
9232663217808
1074286016280
1129560579593
12124922a0908
13700b3abc68
143849d3d520
151deba31755
hex114bcaa718

74286016280 has 128 divisors (see below), whose sum is σ = 193971456000. Its totient is φ = 25077911040.

The previous prime is 74286016247. The next prime is 74286016303. The reversal of 74286016280 is 8261068247.

It is a super-4 number, since 4×742860162804 (a number of 45 digits) contains 4444 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8379050 + ... + 8387910.

It is an arithmetic number, because the mean of its divisors is an integer number (1515402000).

Almost surely, 274286016280 is an apocalyptic number.

74286016280 is a gapful number since it is divisible by the number (70) 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 74286016280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96985728000).

74286016280 is an abundant number, since it is smaller than the sum of its proper divisors (119685439720).

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

74286016280 is a wasteful number, since it uses less digits than its factorization.

74286016280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 74286016280 in words is "seventy-four billion, two hundred eighty-six million, sixteen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 379 395 553 632 758 790 1106 1516 1580 1895 2212 2653 2765 3032 3160 3790 4424 5306 5530 7580 8861 10612 11060 13265 15160 17722 21224 22120 26530 29941 35444 44305 53060 59882 62027 70888 88610 106120 119764 124054 149705 177220 209587 239528 248108 299410 310135 354440 419174 496216 598820 620270 700019 838348 1047935 1197640 1240540 1400038 1676696 2095870 2481080 2800076 3358319 3500095 4191740 4900133 5600152 6716638 7000190 8383480 9800266 13433276 14000380 16791595 19600532 23508233 24500665 26866552 28000760 33583190 39201064 47016466 49001330 67166380 94032932 98002660 117541165 134332760 188065864 196005320 235082330 265307201 470164660 530614402 940329320 1061228804 1326536005 1857150407 2122457608 2653072010 3714300814 5306144020 7428601628 9285752035 10612288040 14857203256 18571504070 37143008140 74286016280