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66113186392 = 231129316712473
BaseRepresentation
bin111101100100101001…
…110010101001011000
320022122112121211222001
4331210221302221120
52040344433431032
650212203010344
74530226545361
oct754451625130
9208575554861
1066113186392
1126047196520
12109912099b4
136308105746
1432b2726b68
151abe2973e7
hexf64a72a58

66113186392 has 128 divisors (see below), whose sum is σ = 146574489600. Its totient is φ = 27657907200.

The previous prime is 66113186387. The next prime is 66113186393. The reversal of 66113186392 is 29368131166.

66113186392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113186393) 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, 5294268 + ... + 5306740.

It is an arithmetic number, because the mean of its divisors is an integer number (1145113200).

Almost surely, 266113186392 is an apocalyptic number.

66113186392 is a gapful number since it is divisible by the number (62) 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 66113186392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73287244800).

66113186392 is an abundant number, since it is smaller than the sum of its proper divisors (80461303208).

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

66113186392 is a wasteful number, since it uses less digits than its factorization.

66113186392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12613 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 66113186392 in words is "sixty-six billion, one hundred thirteen million, one hundred eighty-six thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 67 88 116 124 134 232 248 268 319 341 536 638 682 737 899 1276 1364 1474 1798 1943 2077 2552 2728 2948 3596 3886 4154 5896 7192 7772 8308 9889 12473 15544 16616 19778 21373 22847 24946 39556 42746 45694 49892 60233 79112 85492 91388 99784 120466 137203 170984 182776 240932 274406 361717 386663 481864 548812 662563 723434 773326 835691 1097624 1325126 1446868 1546652 1671382 2650252 2893736 3093304 3342764 3978887 4253293 5300504 6685528 7957774 8506586 9192601 11213227 15915548 17013172 18385202 22426454 24235039 25906421 31831096 34026344 36770404 44852908 48470078 51812842 73540808 89705816 96940156 103625684 123345497 193880312 207251368 246690994 266585429 284970631 493381988 533170858 569941262 751286209 986763976 1066341716 1139882524 1502572418 2132683432 2279765048 3005144836 6010289672 8264148299 16528296598 33056593196 66113186392