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66216424032 = 25321137795531
BaseRepresentation
bin111101101010110011…
…100111001001100000
320022220201212212101100
4331222303213021200
52041102401032112
650230331434400
74532622213633
oct755263471140
9208821785340
1066216424032
112609a499490
12109bb8b5a00
136323610ac5
1432c231bc1a
151ac838b2dc
hexf6ace7260

66216424032 has 144 divisors (see below), whose sum is σ = 205512914880. Its totient is φ = 20056646400.

The previous prime is 66216424007. The next prime is 66216424033. The reversal of 66216424032 is 23042461266.

66216424032 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 642 + 4 + 0 + 3 + 2 = 666.

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

It is a super-2 number, since 2×662164240322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66216424033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11969107 + ... + 11974637.

It is an arithmetic number, because the mean of its divisors is an integer number (1427173020).

Almost surely, 266216424032 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 66216424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102756457440).

66216424032 is an abundant number, since it is smaller than the sum of its proper divisors (139296490848).

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

66216424032 is a wasteful number, since it uses less digits than its factorization.

66216424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 66216424032 its reverse (23042461266), we get a palindrome (89258885298).

The spelling of 66216424032 in words is "sixty-six billion, two hundred sixteen million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3779 5531 7558 11062 11337 15116 16593 22124 22674 30232 33186 34011 41569 44248 45348 49779 60464 60841 66372 68022 83138 88496 90696 99558 120928 121682 124707 132744 136044 166276 176992 181392 182523 199116 243364 249414 265488 272088 332552 362784 365046 374121 398232 486728 498828 530976 544176 547569 665104 730092 748242 796464 973456 997656 1088352 1095138 1330208 1460184 1496484 1592928 1946912 1995312 2190276 2920368 2992968 3990624 4380552 5840736 5985936 8761104 11971872 17522208 20901649 41803298 62704947 83606596 125409894 167213192 188114841 229918139 250819788 334426384 376229682 459836278 501639576 668852768 689754417 752459364 919672556 1003279152 1379508834 1504918728 1839345112 2006558304 2069263251 2759017668 3009837456 3678690224 4138526502 5518035336 6019674912 7357380448 8277053004 11036070672 16554106008 22072141344 33108212016 66216424032