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66666066912 = 25324117931541
BaseRepresentation
bin111110000101100110…
…110111001111100000
320101002001222002110100
4332011212313033200
52043013003120122
650343113102400
74550022135054
oct760546671740
9211061862410
1066666066912
1126300290875
1210b063b7a00
136395814093
143325d25c64
151b02aa8aac
hexf859b73e0

66666066912 has 144 divisors (see below), whose sum is σ = 195296708880. Its totient is φ = 21558220800.

The previous prime is 66666066869. The next prime is 66666066913. The reversal of 66666066912 is 21966066666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×666660669122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66666066913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097862 + ... + 2129402.

It is an arithmetic number, because the mean of its divisors is an integer number (1356227145).

Almost surely, 266666066912 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 66666066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97648354440).

66666066912 is an abundant number, since it is smaller than the sum of its proper divisors (128630641968).

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

66666066912 is a wasteful number, since it uses less digits than its factorization.

66666066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31777 (or 31766 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 66666066912 in words is "sixty-six billion, six hundred sixty-six million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 179 246 288 328 358 369 492 537 656 716 738 984 1074 1312 1432 1476 1611 1968 2148 2864 2952 3222 3936 4296 5728 5904 6444 7339 8592 11808 12888 14678 17184 22017 25776 29356 31541 44034 51552 58712 63082 66051 88068 94623 117424 126164 132102 176136 189246 234848 252328 264204 283869 352272 378492 504656 528408 567738 704544 756984 1009312 1056816 1135476 1293181 1513968 2113632 2270952 2586362 3027936 3879543 4541904 5172724 5645839 7759086 9083808 10345448 11291678 11638629 15518172 16937517 20690896 22583356 23277258 31036344 33875034 41381792 45166712 46554516 50812551 62072688 67750068 90333424 93109032 101625102 124145376 135500136 180666848 186218064 203250204 231479399 271000272 372436128 406500408 462958798 542000544 694438197 813000816 925917596 1388876394 1626001632 1851835192 2083314591 2777752788 3703670384 4166629182 5555505576 7407340768 8333258364 11111011152 16666516728 22222022304 33333033456 66666066912