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318811553956 = 227231213012
BaseRepresentation
bin1001010001110101010…
…01100100000010100100
31010110220112011222111201
410220322221210002210
520210411224211311
6402243210012244
732014306332100
oct4507251440244
91113815158451
10318811553956
111132308a1205
1251955417084
13240aa22901c
1411605664900
15845de229c1
hex4a3aa640a4

318811553956 has 81 divisors (see below), whose sum is σ = 671136225921. Its totient is φ = 132124356000.

The previous prime is 318811553843. The next prime is 318811554023. The reversal of 318811553956 is 659355118813.

The square root of 318811553956 is 564634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 489913956 + 318321640000 = 22134^2 + 564200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 318811553897 and 318811553906.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245050506 + ... + 245051806.

Almost surely, 2318811553956 is an apocalyptic number.

318811553956 is the 564634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318811553956

318811553956 is an abundant number, since it is smaller than the sum of its proper divisors (352324671965).

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

318811553956 is an equidigital number, since it uses as much as digits as its factorization.

318811553956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1341 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 55.

The spelling of 318811553956 in words is "three hundred eighteen billion, eight hundred eleven million, five hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1301 1519 1922 2602 3038 3844 5204 6076 6727 9107 13454 18214 26908 36428 40331 47089 63749 80662 94178 127498 161324 188356 254996 282317 564634 1129268 1250261 1692601 1976219 2500522 3385202 3952438 5001044 6770404 7904876 8751827 11848207 17503654 23696414 35007308 47392828 52470631 61262789 82937449 104941262 122525578 165874898 209882524 245051156 331749796 367294417 734588834 1469177668 1626589561 2571060919 3253179122 5142121838 6506358244 10284243676 11386126927 22772253854 45544507708 79702888489 159405776978 318811553956