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131865782274 = 2331747265027
BaseRepresentation
bin111101011001111010…
…0000010100000000010
3110121100221201210202000
41322303310002200002
54130030120013044
6140324525204430
712345520440552
oct1726364024002
9417327653660
10131865782274
1150a18883a56
1221681700716
13c5865b7705
14654d1c7162
15366ba62d69
hex1eb3d02802

131865782274 has 96 divisors (see below), whose sum is σ = 317019303360. Its totient is φ = 40488829056.

The previous prime is 131865782273. The next prime is 131865782287. The reversal of 131865782274 is 472287568131.

131865782274 is a `hidden beast` number, since 1 + 318 + 6 + 57 + 8 + 2 + 274 = 666.

It is a super-2 number, since 2×1318657822742 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 131865782274.

It is not an unprimeable number, because it can be changed into a prime (131865782273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995349 + ... + 2060375.

It is an arithmetic number, because the mean of its divisors is an integer number (3302284410).

Almost surely, 2131865782274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131865782274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158509651680).

131865782274 is an abundant number, since it is smaller than the sum of its proper divisors (185153521086).

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

131865782274 is a wasteful number, since it uses less digits than its factorization.

131865782274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65149 (or 65096 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 131865782274 in words is "one hundred thirty-one billion, eight hundred sixty-five million, seven hundred eighty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1269 1598 2209 2397 2538 4418 4794 6627 7191 13254 14382 19881 21573 37553 39762 43146 59643 65027 75106 112659 119286 130054 195081 225318 337977 390162 585243 675954 1013931 1105459 1170486 1755729 2027862 2210918 3056269 3316377 3511458 6112538 6632754 9168807 9949131 18337614 19898262 27506421 29847393 51956573 55012842 59694786 82519263 103913146 143644643 155869719 165038526 287289286 311739438 430933929 467609157 861867858 935218314 1292801787 1402827471 2441958931 2585603574 2805654942 3878405361 4883917862 7325876793 7756810722 14651753586 21977630379 43955260758 65932891137 131865782274