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69191670328 = 231137712291307
BaseRepresentation
bin100000001110000100…
…1010001101000111000
320121121002100001000121
41000130021101220320
52113201031422303
651441453343024
74666430331244
oct1003411215070
9217532301017
1069191670328
1127386992020
12114b0197a74
1366a8b39281
1434c551d424
151bee6909bd
hex101c251a38

69191670328 has 128 divisors (see below), whose sum is σ = 148157683200. Its totient is φ = 30015014400.

The previous prime is 69191670319. The next prime is 69191670329. The reversal of 69191670328 is 82307619196.

It is a happy number.

It is a super-3 number, since 3×691916703283 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69191670329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52938651 + ... + 52939957.

It is an arithmetic number, because the mean of its divisors is an integer number (1157481900).

Almost surely, 269191670328 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 69191670328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74078841600).

69191670328 is an abundant number, since it is smaller than the sum of its proper divisors (78966012872).

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

69191670328 is a wasteful number, since it uses less digits than its factorization.

69191670328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 69191670328 in words is "sixty-nine billion, one hundred ninety-one million, six hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 71 74 88 142 148 229 284 296 407 458 568 781 814 916 1307 1562 1628 1832 2519 2614 2627 3124 3256 5038 5228 5254 6248 8473 10076 10456 10508 14377 16259 16946 20152 21016 28754 28897 32518 33892 48359 57508 57794 65036 67784 92797 93203 96718 115016 115588 130072 178849 185594 186406 193436 231176 299303 357698 371188 372812 386872 531949 598606 601583 715396 742376 745624 1020767 1063898 1197212 1203166 1430792 2041534 2127796 2394424 2406332 3292333 3433489 4083068 4255592 4812664 6584666 6617413 6866978 8166136 11074211 13169332 13234826 13733956 21250513 22148422 26338664 26469652 27467912 37768379 42501026 44296844 52939304 75536758 85002052 88593688 121816321 151073516 170004104 233755643 243632642 302147032 467511286 487265284 786268981 935022572 974530568 1572537962 1870045144 3145075924 6290151848 8648958791 17297917582 34595835164 69191670328