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66092997348 = 223271077433299
BaseRepresentation
bin111101100011011100…
…110001101011100100
320022121010122010210200
4331203130301223210
52040324301403343
650210202150500
74526563131240
oct754334615344
9208533563720
1066092997348
1126036857164
12109864b2430
136303b87271
1432adb8d420
151abc60a4d3
hexf63731ae4

66092997348 has 144 divisors (see below), whose sum is σ = 193037644800. Its totient is φ = 18676389312.

The previous prime is 66092997263. The next prime is 66092997403. The reversal of 66092997348 is 84379929066.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20032603 + ... + 20035901.

It is an arithmetic number, because the mean of its divisors is an integer number (1340539200).

Almost surely, 266092997348 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 66092997348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

66092997348 is an abundant number, since it is smaller than the sum of its proper divisors (126944647452).

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

66092997348 is a wasteful number, since it uses less digits than its factorization.

66092997348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 66092997348 in words is "sixty-six billion, ninety-two million, nine hundred ninety-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 743 749 963 1284 1486 1498 1926 2229 2247 2972 2996 3299 3852 4458 4494 5201 6598 6687 6741 8916 8988 9897 10402 13196 13374 13482 15603 19794 20804 23093 26748 26964 29691 31206 39588 46186 46809 59382 62412 69279 79501 92372 93618 118764 138558 159002 187236 207837 238503 277116 318004 352993 415674 477006 556507 705986 715509 831348 954012 1058979 1113014 1411972 1431018 1669521 2117958 2226028 2451157 2470951 2862036 3176937 3339042 4235916 4902314 4941902 5008563 6353874 6678084 7353471 7412853 9804628 9883804 10017126 12707748 14706942 14825706 17158099 20034252 22060413 22238559 29413884 29651412 34316198 44120826 44477118 51474297 68632396 88241652 88954236 102948594 154422891 205897188 262273799 308845782 524547598 617691564 786821397 1049095196 1573642794 1835916593 2360464191 3147285588 3671833186 4720928382 5507749779 7343666372 9441856764 11015499558 16523249337 22030999116 33046498674 66092997348