Search a number
-
+
527130148405194 = 233191131745398257
BaseRepresentation
bin111011111011011000000110…
…1001111101111111111001010
32120010102011001101012010202000
41313312300031033233333022
51023043000020442431234
65105040125213251430
7216013616323442415
oct16766601517577712
92503364041163660
10527130148405194
11142a6170557a2a4
124b155430193b76
131981920cb38899
1494253419aab7c
1540e1ce8d5d899
hex1df6c0d3effca

527130148405194 has 64 divisors (see below), whose sum is σ = 1233161961705600. Its totient is φ = 166447439426304.

The previous prime is 527130148405193. The next prime is 527130148405199. The reversal of 527130148405194 is 491504841031725.

527130148405194 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 3 + 0 + 1 + 48 + 405 + 194 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 527130148405194.

It is not an unprimeable number, because it can be changed into a prime (527130148405193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11087887 + ... + 34310370.

It is an arithmetic number, because the mean of its divisors is an integer number (19268155651650).

Almost surely, 2527130148405194 is an apocalyptic number.

527130148405194 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

527130148405194 is an abundant number, since it is smaller than the sum of its proper divisors (706031813300406).

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

527130148405194 is a wasteful number, since it uses less digits than its factorization.

527130148405194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45409604 (or 45409598 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 527130148405194 in words is "five hundred twenty-seven trillion, one hundred thirty billion, one hundred forty-eight million, four hundred five thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 11317 22634 33951 67902 101853 203706 215023 305559 430046 611118 645069 1290138 1935207 3870414 5805621 11611242 45398257 90796514 136194771 272389542 408584313 817168626 862566883 1225752939 1725133766 2451505878 2587700649 5175401298 7763101947 15526203894 23289305841 46578611682 513772074469 1027544148938 1541316223407 3082632446814 4623948670221 9247897340442 9761669414911 13871846010663 19523338829822 27743692021326 29285008244733 58570016489466 87855024734199 175710049468398 263565074202597 527130148405194