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75428321364 = 22341122992419
BaseRepresentation
bin100011000111111100…
…0001101100001010100
321012200201200201220000
41012033320031201110
52213434122240424
654352402411300
75310120103314
oct1061770154124
9235621621800
1075428321364
1129a97359280
1212750960b30
137160c52726
143917931444
151e66e723c9
hex118fe0d854

75428321364 has 120 divisors (see below), whose sum is σ = 216052082400. Its totient is φ = 22757008320.

The previous prime is 75428321351. The next prime is 75428321383. The reversal of 75428321364 is 46312382457.

75428321364 is a `hidden beast` number, since 7 + 5 + 4 + 283 + 2 + 1 + 364 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 769947 + ... + 862365.

It is an arithmetic number, because the mean of its divisors is an integer number (1800434020).

Almost surely, 275428321364 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 75428321364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108026041200).

75428321364 is an abundant number, since it is smaller than the sum of its proper divisors (140623761036).

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

75428321364 is a wasteful number, since it uses less digits than its factorization.

75428321364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92675 (or 92664 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 75428321364 in words is "seventy-five billion, four hundred twenty-eight million, three hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 229 297 324 396 458 594 687 891 916 1188 1374 1782 2061 2519 2748 3564 4122 5038 6183 7557 8244 10076 12366 15114 18549 22671 24732 30228 37098 45342 68013 74196 90684 92419 136026 184838 204039 272052 277257 369676 408078 554514 816156 831771 1016609 1109028 1663542 2033218 2495313 3049827 3327084 4066436 4990626 6099654 7485939 9149481 9981252 12199308 14971878 18298962 21163951 27448443 29943756 36597924 42327902 54896886 63491853 82345329 84655804 109793772 126983706 164690658 190475559 232803461 253967412 329381316 380951118 465606922 571426677 698410383 761902236 931213844 1142853354 1396820766 1714280031 2095231149 2285706708 2793641532 3428560062 4190462298 6285693447 6857120124 8380924596 12571386894 18857080341 25142773788 37714160682 75428321364