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75689325060 = 223523124943913
BaseRepresentation
bin100011001111101101…
…1110111001000000100
321020100220211002122120
41012133123313020010
52220002431400220
654434324525540
75316436435116
oct1063733671004
9236326732576
1075689325060
112a110718208
12128042508b0
1371a304879b
1439404733b6
151e7ed2ba40
hex119f6f7204

75689325060 has 96 divisors (see below), whose sum is σ = 221326560000. Its totient is φ = 19290365952.

The previous prime is 75689325031. The next prime is 75689325113. The reversal of 75689325060 is 6052398657.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75689324994 and 75689325012.

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 31 ways as a sum of consecutive naturals, for example, 1701664 + ... + 1745576.

It is an arithmetic number, because the mean of its divisors is an integer number (2305485000).

Almost surely, 275689325060 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 75689325060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110663280000).

75689325060 is an abundant number, since it is smaller than the sum of its proper divisors (145637234940).

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

75689325060 is a wasteful number, since it uses less digits than its factorization.

75689325060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45197 (or 45195 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 75689325060 in words is "seventy-five billion, six hundred eighty-nine million, three hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1249 1380 2498 3747 4996 6245 7494 12490 14988 18735 24980 28727 37470 43913 57454 74940 86181 87826 114908 131739 143635 172362 175652 219565 263478 287270 344724 430905 439130 526956 574540 658695 861810 878260 1009999 1317390 1723620 2019998 2634780 3029997 4039996 5049995 6059994 10099990 12119988 15149985 20199980 30299970 54847337 60599940 109694674 164542011 219389348 274236685 329084022 548473370 658168044 822710055 1096946740 1261488751 1645420110 2522977502 3290840220 3784466253 5045955004 6307443755 7568932506 12614887510 15137865012 18922331265 25229775020 37844662530 75689325060