Search a number
-
+
8447997247368 = 2337197873362917
BaseRepresentation
bin111101011101111001111…
…0111111111111110001000
31002220121202110020120100120
41322323303313333332020
52101402444243403433
625544542323503240
71531230150535110
oct172736367777610
932817673216316
108447997247368
112767859230a18
12b45341227b20
134938480a2c93
14212c5719c040
15e9b4249a7b3
hex7aef3dfff88

8447997247368 has 128 divisors (see below), whose sum is σ = 25439802086400. Its totient is φ = 2283769707264.

The previous prime is 8447997247307. The next prime is 8447997247369. The reversal of 8447997247368 is 8637427997448.

It is a junction number, because it is equal to n+sod(n) for n = 8447997247293 and 8447997247302.

It is not an unprimeable number, because it can be changed into a prime (8447997247369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830646 + ... + 4193562.

It is an arithmetic number, because the mean of its divisors is an integer number (198748453800).

Almost surely, 28447997247368 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 8447997247368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719901043200).

8447997247368 is an abundant number, since it is smaller than the sum of its proper divisors (16991804839032).

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

8447997247368 is a wasteful number, since it uses less digits than its factorization.

8447997247368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363739 (or 3363735 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 78.

The spelling of 8447997247368 in words is "eight trillion, four hundred forty-seven billion, nine hundred ninety-seven million, two hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 787 798 1064 1574 1596 2361 3148 3192 4722 5509 6296 9444 11018 14953 16527 18888 22036 29906 33054 44072 44859 59812 66108 89718 104671 119624 132216 179436 209342 314013 358872 418684 628026 837368 1256052 2512104 3362917 6725834 10088751 13451668 20177502 23540419 26903336 40355004 47080838 63895423 70621257 80710008 94161676 127790846 141242514 188323352 191686269 255581692 282485028 383372538 447267961 511163384 564970056 766745076 894535922 1341803883 1533490152 1789071844 2646615679 2683607766 3578143688 5293231358 5367215532 7939847037 10586462716 10734431064 15879694074 18526309753 21172925432 31759388148 37052619506 50285697901 55578929259 63518776296 74105239012 100571395802 111157858518 148210478024 150857093703 201142791604 222315717036 301714187406 351999885307 402285583208 444631434072 603428374812 703999770614 1055999655921 1206856749624 1407999541228 2111999311842 2815999082456 4223998623684 8447997247368