Search a number
-
+
4018481886195 = 325767691727527
BaseRepresentation
bin111010011110100000001…
…011110111001111110011
3112020011101220121210112200
4322132200023313033303
51011314322330324240
612314022020554243
7563216504310210
oct72364013671763
915204356553480
104018481886195
11130a257299287
1254a985552983
13231c30b0b37a
14dc6d1b68b07
156e7e37ee930
hex3a7a02f73f3

4018481886195 has 96 divisors (see below), whose sum is σ = 8080695088128. Its totient is φ = 1809274731264.

The previous prime is 4018481886169. The next prime is 4018481886197. The reversal of 4018481886195 is 5916881848104.

4018481886195 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 4 + 8 + 1 + 8 + 8 + 619 + 5 = 666.

It is not a de Polignac number, because 4018481886195 - 223 = 4018473497587 is a prime.

It is a super-2 number, since 2×40184818861952 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4018481886197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145969522 + ... + 145997048.

It is an arithmetic number, because the mean of its divisors is an integer number (84173907168).

Almost surely, 24018481886195 is an apocalyptic number.

4018481886195 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4018481886195 is an abundant number, since it is smaller than the sum of its proper divisors (4062213201933).

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

4018481886195 is a wasteful number, since it uses less digits than its factorization.

4018481886195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34529 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 4018481886195 in words is "four trillion, eighteen billion, four hundred eighty-one million, eight hundred eighty-six thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 6917 7035 20751 21105 27527 34585 48419 62253 82581 103755 137635 145257 192689 242095 247743 311265 412905 435771 463439 578067 726285 963445 1238715 1390317 1734201 1844309 2178855 2317195 2890335 3244073 4170951 5532927 6951585 8671005 9221545 9732219 12910163 16220365 16598781 20854755 27664635 29196657 38730489 48661095 64550815 82993905 116191467 145983285 190404259 193652445 571212777 580957335 952021295 1332829813 1713638331 2856063885 3998489439 6664149065 8568191655 11995468317 12757085353 19992447195 38271256059 59977341585 63785426765 89299597471 114813768177 191356280295 267898792413 446497987355 574068840885 803696377239 1339493962065 4018481886195