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75580934754 = 2313323892801
BaseRepresentation
bin100011001100011111…
…0011000101001100010
321020002100212022002210
41012120332120221202
52214242204403004
654415453422550
75313652226313
oct1063076305142
9236070768083
1075580934754
112a065515a46
1212793a9aa56
137186758000
14392dcda60a
151e7556b089
hex1198f98a62

75580934754 has 128 divisors (see below), whose sum is σ = 172854259200. Its totient is φ = 21986764800.

The previous prime is 75580934711. The next prime is 75580934789. The reversal of 75580934754 is 45743908557.

It is a junction number, because it is equal to n+sod(n) for n = 75580934694 and 75580934703.

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 63 ways as a sum of consecutive naturals, for example, 26982154 + ... + 26984954.

It is an arithmetic number, because the mean of its divisors is an integer number (1350423900).

Almost surely, 275580934754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75580934754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86427129600).

75580934754 is an abundant number, since it is smaller than the sum of its proper divisors (97273324446).

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

75580934754 is a wasteful number, since it uses less digits than its factorization.

75580934754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 75580934754 in words is "seventy-five billion, five hundred eighty million, nine hundred thirty-four thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 89 138 169 178 267 299 338 507 534 598 897 1014 1157 1794 2047 2197 2314 2801 3471 3887 4094 4394 5602 6141 6591 6942 7774 8403 11661 12282 13182 15041 16806 23322 26611 30082 36413 45123 50531 53222 64423 72826 79833 90246 101062 109239 128846 151593 159666 193269 195533 218478 249289 303186 345943 386538 391066 473369 498578 586599 691886 747867 837499 946738 1037829 1173198 1420107 1495734 1674998 2075658 2512497 2840214 3240757 4497259 5024994 5733647 6153797 6481514 8994518 9722271 10887487 11467294 12307594 13491777 17200941 18461391 19444542 21774974 26983554 32662461 34401882 36922782 42129841 65324922 74537411 84259682 126389523 141537331 149074822 223612233 252779046 283074662 424611993 447224466 547687933 849223986 968986343 1095375866 1643063799 1937972686 2906959029 3286127598 5813918058 12596822459 25193644918 37790467377 75580934754