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116065664 = 27111317373
BaseRepresentation
bin1101110101100…
…00010110000000
322002101202011022
412322300112000
5214203100124
615303405012
72606353601
oct672602600
9262352138
10116065664
115a574940
1232a53768
131b07a210
14115b3da8
15a2c9c5e
hex6eb0580

116065664 has 128 divisors (see below), whose sum is σ = 288398880. Its totient is φ = 45711360.

The previous prime is 116065639. The next prime is 116065667. The reversal of 116065664 is 466560611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116065667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310982 + ... + 311354.

Almost surely, 2116065664 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 116065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144199440).

116065664 is an abundant number, since it is smaller than the sum of its proper divisors (172333216).

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

116065664 is a wasteful number, since it uses less digits than its factorization.

116065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 116065664 is about 10773.3775576650. The cubic root of 116065664 is about 487.7919026741.

The spelling of 116065664 in words is "one hundred sixteen million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 272 286 352 373 374 416 442 544 572 704 746 748 832 884 1088 1144 1408 1492 1496 1664 1768 2176 2288 2431 2984 2992 3536 4103 4576 4849 4862 5968 5984 6341 7072 8206 9152 9698 9724 11936 11968 12682 14144 16412 18304 19396 19448 23872 23936 25364 28288 32824 38792 38896 47744 50728 53339 65648 69751 77584 77792 82433 101456 106678 131296 139502 155168 155584 164866 202912 213356 262592 279004 310336 311168 329732 405824 426712 525184 558008 620672 659464 811648 853424 906763 1116016 1318928 1706848 1813526 2232032 2637856 3413696 3627052 4464064 5275712 6827392 7254104 8928128 10551424 14508208 29016416 58032832 116065664