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64696968 = 2334717839
BaseRepresentation
bin1111011011001…
…1001010001000
311111201221120000
43312303022020
5113030300333
610230403000
71413625620
oct366631210
9144657500
1064696968
1133579876
1219800460
1310532b3b
148841880
155a2e713
hex3db3288

64696968 has 160 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 17376768.

The previous prime is 64696903. The next prime is 64696987. The reversal of 64696968 is 86969646.

It is a happy number.

64696968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76693 + ... + 77531.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 264696968 is an apocalyptic number.

64696968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64696968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

64696968 is an abundant number, since it is smaller than the sum of its proper divisors (154845432).

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

64696968 is a wasteful number, since it uses less digits than its factorization.

64696968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 868 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 64696968 is about 8043.4425465717. The cubic root of 64696968 is about 401.4467774452.

The spelling of 64696968 in words is "sixty-four million, six hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 839 918 952 1071 1134 1224 1377 1428 1512 1678 1836 2142 2268 2517 2754 2856 3213 3356 3672 4284 4536 5034 5508 5873 6426 6712 7551 8568 9639 10068 11016 11746 12852 14263 15102 17619 19278 20136 22653 23492 25704 28526 30204 35238 38556 42789 45306 46984 52857 57052 60408 67959 70476 77112 85578 90612 99841 105714 114104 128367 135918 140952 158571 171156 181224 199682 211428 256734 271836 299523 317142 342312 385101 399364 422856 475713 513468 543672 599046 634284 770202 798728 898569 951426 1026936 1155303 1198092 1268568 1540404 1797138 1902852 2310606 2396184 2695707 3080808 3594276 3805704 4621212 5391414 7188552 8087121 9242424 10782828 16174242 21565656 32348484 64696968