Search a number
-
+
275318538132 = 2231110966128949
BaseRepresentation
bin1000000000110100100…
…00110111111110010100
3222022122102101212002210
410000122100313332110
514002323021210012
6330251331433420
725614435650511
oct4003220677624
9868572355083
10275318538132
11a6842156730
1245437755870
131cc685b40c1
14d47b1d6308
15726595d23c
hex401a437f94

275318538132 has 96 divisors (see below), whose sum is σ = 708334704000. Its totient is φ = 82536537600.

The previous prime is 275318538101. The next prime is 275318538133. The reversal of 275318538132 is 231835813572.

It is a super-3 number, since 3×2753185381323 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275318538133) 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, 9495994 + ... + 9524942.

It is an arithmetic number, because the mean of its divisors is an integer number (7378486500).

Almost surely, 2275318538132 is an apocalyptic number.

275318538132 is a gapful number since it is divisible by the number (22) 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 275318538132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354167352000).

275318538132 is an abundant number, since it is smaller than the sum of its proper divisors (433016165868).

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

275318538132 is a wasteful number, since it uses less digits than its factorization.

275318538132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29737 (or 29735 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

It can be divided in two parts, 275318 and 538132, that added together give a triangular number (813450 = T1275).

The spelling of 275318538132 in words is "two hundred seventy-five billion, three hundred eighteen million, five hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 661 1199 1308 1322 1983 2398 2644 3597 3966 4796 7194 7271 7932 14388 14542 21813 28949 29084 43626 57898 72049 86847 87252 115796 144098 173694 216147 288196 318439 347388 432294 636878 792539 864588 955317 1273756 1585078 1910634 2377617 3155441 3170156 3821268 4755234 6310882 9466323 9510468 12621764 18932646 19135289 34709851 37865292 38270578 57405867 69419702 76541156 104129553 114811734 138839404 208259106 210488179 229623468 416518212 420976358 631464537 841952716 1262929074 2085746501 2525858148 4171493002 6257239503 8342986004 12514479006 22943211511 25028958012 45886423022 68829634533 91772846044 137659269066 275318538132