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75827429412 = 22375986317729
BaseRepresentation
bin100011010011110101…
…0101100000000100100
321020201112200112012120
41012213222230000210
52220243310220122
654500140545540
75323034341530
oct1064752540044
9236645615176
1075827429412
112a181675039
12128425522b0
1371c5841037
143954942bc0
151e8c00b75c
hex11a7aac024

75827429412 has 96 divisors (see below), whose sum is σ = 205883596800. Its totient is φ = 21271898112.

The previous prime is 75827429399. The next prime is 75827429423. The reversal of 75827429412 is 21492472857.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4268164 + ... + 4285892.

It is an arithmetic number, because the mean of its divisors is an integer number (2144620800).

Almost surely, 275827429412 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 75827429412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102941798400).

75827429412 is an abundant number, since it is smaller than the sum of its proper divisors (130056167388).

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

75827429412 is a wasteful number, since it uses less digits than its factorization.

75827429412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18663 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 75827429412 in words is "seventy-five billion, eight hundred twenty-seven million, four hundred twenty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 863 1239 1652 1726 2478 2589 3452 4956 5178 6041 10356 12082 17729 18123 24164 35458 36246 50917 53187 70916 72492 101834 106374 124103 152751 203668 212748 248206 305502 356419 372309 496412 611004 712838 744618 1046011 1069257 1425676 1489236 2092022 2138514 3138033 4184044 4277028 6276066 7322077 12552132 14644154 15300127 21966231 29288308 30600254 43932462 45900381 61200508 87864924 91800762 107100889 183601524 214201778 321302667 428403556 642605334 902707493 1285210668 1805414986 2708122479 3610829972 5416244958 6318952451 10832489916 12637904902 18956857353 25275809804 37913714706 75827429412