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6172144020 = 22325731158017
BaseRepresentation
bin1011011111110001…
…10111000110010100
3120221010222101212200
411233320313012110
5100120032102040
62500242244500
7305644233660
oct55770670624
916833871780
106172144020
112688018179
121243056730
1377494bc33
14427a1d8a0
15261cdd630
hex16fe37194

6172144020 has 144 divisors (see below), whose sum is σ = 22087123968. Its totient is φ = 1365258240.

The previous prime is 6172144003. The next prime is 6172144039. The reversal of 6172144020 is 204412716.

6172144020 is a `hidden beast` number, since 617 + 2 + 1 + 4 + 40 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 39949 + ... + 118068.

Almost surely, 26172144020 is an apocalyptic number.

6172144020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6172144020 is an abundant number, since it is smaller than the sum of its proper divisors (15914979948).

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

6172144020 is a wasteful number, since it uses less digits than its factorization.

6172144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158070 (or 158065 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6172144020 is about 78562.9939602610. The cubic root of 6172144020 is about 1834.3351312338.

Adding to 6172144020 its reverse (204412716), we get a palindrome (6376556736).

The spelling of 6172144020 in words is "six billion, one hundred seventy-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 39060 158017 316034 474051 632068 790085 948102 1106119 1422153 1580170 1896204 2212238 2370255 2844306 3160340 3318357 4424476 4740510 4898527 5530595 5688612 6636714 7110765 9481020 9797054 9955071 11061190 13273428 14221530 14695581 16591785 19594108 19910142 22122380 24492635 28443060 29391162 33183570 34289689 39820284 44086743 48985270 49775355 58782324 66367140 68579378 73477905 88173486 97970540 99550710 102869067 137158756 146955810 171448445 176346972 199101420 205738134 220433715 293911620 308607201 342896890 411476268 440867430 514345335 617214402 685793780 881734860 1028690670 1234428804 1543036005 2057381340 3086072010 6172144020