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66343257144 = 23331931351647
BaseRepresentation
bin111101110010010111…
…011100010000111000
320100020120112122201000
4331302113130100320
52041332333212034
650251102125000
74536022244523
oct756227342070
9210216478630
1066343257144
112615504803a
1210a36280760
13634398ac98
1432d50d5bba
151ad4591599
hexf725dc438

66343257144 has 128 divisors (see below), whose sum is σ = 194609664000. Its totient is φ = 20883163392.

The previous prime is 66343257073. The next prime is 66343257151. The reversal of 66343257144 is 44175234366.

66343257144 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 32 + 571 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66343257144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258729 + ... + 1310375.

It is an arithmetic number, because the mean of its divisors is an integer number (1520388000).

Almost surely, 266343257144 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 66343257144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97304832000).

66343257144 is an abundant number, since it is smaller than the sum of its proper divisors (128266406856).

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

66343257144 is a wasteful number, since it uses less digits than its factorization.

66343257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51994 (or 51984 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 66343257144 in words is "sixty-six billion, three hundred forty-three million, two hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 313 342 456 513 626 684 939 1026 1252 1368 1878 2052 2504 2817 3756 4104 5634 5947 7512 8451 11268 11894 16902 17841 22536 23788 33804 35682 47576 51647 53523 67608 71364 103294 107046 142728 154941 160569 206588 214092 309882 321138 413176 428184 464823 619764 642276 929646 981293 1239528 1284552 1394469 1859292 1962586 2788938 2943879 3718584 3925172 5577876 5887758 7850344 8831637 11155752 11775516 16165511 17663274 23551032 26494911 32331022 35326548 48496533 52989822 64662044 70653096 96993066 105979644 129324088 145489599 193986132 211959288 290979198 307144709 387972264 436468797 581958396 614289418 872937594 921434127 1163916792 1228578836 1745875188 1842868254 2457157672 2764302381 3491750376 3685736508 5528604762 7371473016 8292907143 11057209524 16585814286 22114419048 33171628572 66343257144