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318079081056 = 253112157174413
BaseRepresentation
bin1001010000011101111…
…11011001101001100000
31010102000110220111120210
410220032333121221200
520202411221043211
6402042402334120
731660203402432
oct4501677315140
91112013814523
10318079081056
11112995392500
125179005a340
1323cc155a1c9
1411576276652
1584199889a6
hex4a0efd9a60

318079081056 has 144 divisors (see below), whose sum is σ = 923614220592. Its totient is φ = 95773117440.

The previous prime is 318079081037. The next prime is 318079081087. The reversal of 318079081056 is 650180970813.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 318079080996 and 318079081014.

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 23 ways as a sum of consecutive naturals, for example, 1736506 + ... + 1910918.

It is an arithmetic number, because the mean of its divisors is an integer number (6413987643).

Almost surely, 2318079081056 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 318079081056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461807110296).

318079081056 is an abundant number, since it is smaller than the sum of its proper divisors (605535139536).

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

318079081056 is a wasteful number, since it uses less digits than its factorization.

318079081056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174605 (or 174586 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 318079081056 in words is "three hundred eighteen billion, seventy-nine million, eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 157 176 242 264 314 352 363 471 484 528 628 726 942 968 1056 1256 1452 1727 1884 1936 2512 2904 3454 3768 3872 5024 5181 5808 6908 7536 10362 11616 13816 15072 18997 20724 27632 37994 41448 55264 56991 75988 82896 113982 151976 165792 174413 227964 303952 348826 455928 523239 607904 697652 911856 1046478 1395304 1823712 1918543 2092956 2790608 3837086 4185912 5581216 5755629 7674172 8371824 11511258 15348344 16743648 21103973 23022516 27382841 30696688 42207946 46045032 54765682 61393376 63311919 82148523 84415892 92090064 109531364 126623838 164297046 168831784 184180128 219062728 253247676 301211251 328594092 337663568 438125456 506495352 602422502 657188184 675327136 876250912 903633753 1012990704 1204845004 1314376368 1807267506 2025981408 2409690008 2628752736 3313323761 3614535012 4819380016 6626647522 7229070024 9638760032 9939971283 13253295044 14458140048 19879942566 26506590088 28916280096 39759885132 53013180176 79519770264 106026360352 159039540528 318079081056