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1316256426 = 233193734673
BaseRepresentation
bin100111001110100…
…0111101010101010
310101201202202101000
41032131013222222
510143430201201
6334335535430
744421665202
oct11635075252
93351682330
101316256426
11615aa0a31
1230898a576
1317c90a474
14c6b53402
157a851d86
hex4e747aaa

1316256426 has 64 divisors (see below), whose sum is σ = 3162268800. Its totient is φ = 404414208.

The previous prime is 1316256421. The next prime is 1316256451. The reversal of 1316256426 is 6246526131.

1316256426 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 5 + 642 + 6 = 666.

It is a super-4 number, since 4×13162564264 (a number of 38 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1316256421) 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 31 ways as a sum of consecutive naturals, for example, 20626 + ... + 55298.

It is an arithmetic number, because the mean of its divisors is an integer number (49410450).

Almost surely, 21316256426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316256426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581134400).

1316256426 is an abundant number, since it is smaller than the sum of its proper divisors (1846012374).

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

1316256426 is a wasteful number, since it uses less digits than its factorization.

1316256426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34740 (or 34734 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1316256426 is about 36280.2484280359. The cubic root of 1316256426 is about 1095.9233195549.

The spelling of 1316256426 in words is "one billion, three hundred sixteen million, two hundred fifty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4218 6327 12654 18981 34673 37962 69346 104019 208038 312057 624114 658787 936171 1282901 1317574 1872342 1976361 2565802 3848703 3952722 5929083 7697406 11546109 11858166 17787249 23092218 24375119 34638327 35574498 48750238 69276654 73125357 146250714 219376071 438752142 658128213 1316256426