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76664587120 = 245111932411873
BaseRepresentation
bin100011101100110010…
…0001100001101110000
321022212212221112200121
41013121210030031300
52224002113241440
655115204100024
75352551144542
oct1073144141560
9238785845617
1076664587120
112a571185010
1212a36994614
1372ca103b24
1439d3bc1692
151eda77334a
hex11d990c370

76664587120 has 160 divisors (see below), whose sum is σ = 196372592064. Its totient is φ = 27603763200.

The previous prime is 76664587117. The next prime is 76664587127. The reversal of 76664587120 is 2178546667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76664587127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40930504 + ... + 40932376.

Almost surely, 276664587120 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 76664587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98186296032).

76664587120 is an abundant number, since it is smaller than the sum of its proper divisors (119708004944).

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

76664587120 is a wasteful number, since it uses less digits than its factorization.

76664587120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 76664587120 in words is "seventy-six billion, six hundred sixty-four million, five hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 241 386 440 482 772 880 964 965 1205 1544 1873 1928 1930 2123 2410 2651 3088 3746 3856 3860 4246 4820 5302 7492 7720 8492 9365 9640 10604 10615 13255 14984 15440 16984 18730 19280 20603 21208 21230 26510 29968 33968 37460 41206 42416 42460 46513 53020 74920 82412 84920 93026 103015 106040 149840 164824 169840 186052 206030 212080 232565 329648 361489 372104 412060 451393 465130 511643 722978 744208 824120 902786 930260 1023286 1445956 1648240 1805572 1807445 1860520 2046572 2256965 2558215 2891912 3611144 3614890 3721040 3976379 4093144 4513930 4965323 5116430 5783824 7222288 7229780 7952758 8186288 9027860 9930646 10232860 14459560 15905516 18055720 19861292 19881895 20465720 24826615 28919120 31811032 36111440 39722584 39763790 40931440 49653230 63622064 79445168 79527580 87118849 99306460 159055160 174237698 198612920 318110320 348475396 397225840 435594245 696950792 871188490 958307339 1393901584 1742376980 1916614678 3484753960 3833229356 4791536695 6969507920 7666458712 9583073390 15332917424 19166146780 38332293560 76664587120