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668524721382 = 23472361420191
BaseRepresentation
bin10011011101001110010…
…11011011010011100110
32100220120122012120120000
421232213023123103212
541423114312041012
61231041020522130
766204444241560
oct11564713332346
92326518176500
10668524721382
1123857985aa41
12a96936b0346
134b07055a01b
14244dcd90330
15125cabb8ddc
hex9ba72db4e6

668524721382 has 160 divisors (see below), whose sum is σ = 1815713501184. Its totient is φ = 179706859200.

The previous prime is 668524721377. The next prime is 668524721393. The reversal of 668524721382 is 283127425866.

668524721382 is a `hidden beast` number, since 6 + 6 + 85 + 2 + 472 + 13 + 82 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1380907 + ... + 1801097.

Almost surely, 2668524721382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668524721382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907856750592).

668524721382 is an abundant number, since it is smaller than the sum of its proper divisors (1147188779802).

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

668524721382 is a wasteful number, since it uses less digits than its factorization.

668524721382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420296 (or 420287 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 668524721382 in words is "six hundred sixty-eight billion, five hundred twenty-four million, seven hundred twenty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 61 63 69 81 122 126 138 161 162 183 189 207 322 366 378 414 427 483 549 567 621 854 966 1098 1134 1242 1281 1403 1449 1647 1863 2562 2806 2898 3294 3726 3843 4209 4347 4941 7686 8418 8694 9821 9882 11529 12627 13041 19642 23058 25254 26082 29463 34587 37881 58926 69174 75762 88389 113643 176778 227286 265167 420191 530334 795501 840382 1260573 1591002 2521146 2941337 3781719 5882674 7563438 8824011 9664393 11345157 17648022 19328786 22690314 25631651 26472033 28993179 34035471 51263302 52944066 57986358 67650751 68070942 76894953 79416099 86979537 135301502 153789906 158832198 173959074 179421557 202952253 230684859 238248297 260938611 358843114 405904506 461369718 476496594 521877222 538264671 589527973 608856759 692054577 782815833 1076529342 1179055946 1217713518 1384109154 1565631666 1614794013 1768583919 1826570277 2076163731 3229588026 3537167838 3653140554 4126695811 4152327462 4844382039 5305751757 5479710831 8253391622 9688764078 10611503514 10959421662 12380087433 14533146117 15917255271 24760174866 29066292234 31834510542 37140262299 47751765813 74280524598 95503531626 111420786897 222841573794 334262360691 668524721382