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172245677868 = 2232112393720183
BaseRepresentation
bin1010000001101010100…
…1000111011100101100
3121110121002122001000200
42200122221013130230
510310224343142433
6211043434353500
715305260050645
oct2403251073454
9543532561020
10172245677868
116705a2161a0
122947088b890
131332028c764
1484a00046cc
154731a8b613
hex281aa4772c

172245677868 has 144 divisors (see below), whose sum is σ = 496185371136. Its totient is φ = 49870529280.

The previous prime is 172245677861. The next prime is 172245677881. The reversal of 172245677868 is 868776542271.

It is a happy number.

172245677868 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 4 + 567 + 7 + 8 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (172245677861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8524105 + ... + 8544287.

It is an arithmetic number, because the mean of its divisors is an integer number (3445731744).

Almost surely, 2172245677868 is an apocalyptic number.

172245677868 is a gapful number since it is divisible by the number (18) 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 172245677868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248092685568).

172245677868 is an abundant number, since it is smaller than the sum of its proper divisors (323939693268).

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

172245677868 is a wasteful number, since it uses less digits than its factorization.

172245677868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21164 (or 21159 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 172245677868 in words is "one hundred seventy-two billion, two hundred forty-five million, six hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 937 1012 1518 1874 2277 2811 3036 3748 4554 5622 8433 9108 10307 11244 16866 20183 20614 21551 30921 33732 40366 41228 43102 60549 61842 64653 80732 86204 92763 121098 123684 129306 181647 185526 193959 222013 237061 242196 258612 363294 371052 387918 444026 464209 474122 666039 711183 726588 775836 888052 928418 948244 1332078 1392627 1422366 1856836 1998117 2133549 2664156 2785254 2844732 3996234 4177881 4267098 5106299 5570508 7992468 8355762 8534196 10212598 15318897 16711524 18911471 20425196 30637794 37822942 45956691 56734413 61275588 75645884 91913382 113468826 170203239 183826764 208026181 226937652 340406478 416052362 434963833 624078543 680812956 832104724 869927666 1248157086 1304891499 1739855332 1872235629 2496314172 2609782998 3744471258 3914674497 4784602163 5219565996 7488942516 7829348994 9569204326 14353806489 15658697988 19138408652 28707612978 43061419467 57415225956 86122838934 172245677868