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130148258574 = 231923376720023
BaseRepresentation
bin111100100110101110…
…0001101001100001110
3110102221020220120011010
41321031130031030032
54113020423233244
6135442252510050
712255123642045
oct1711534151416
9412836816133
10130148258574
1150217331a84
122128247b326
13c371813bb9
14642905d55c
1535bad9beb9
hex1e4d70d30e

130148258574 has 128 divisors (see below), whose sum is σ = 298034012160. Its totient is φ = 37677239424.

The previous prime is 130148258543. The next prime is 130148258579. The reversal of 130148258574 is 475852841031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130148258579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6489927 + ... + 6509949.

It is an arithmetic number, because the mean of its divisors is an integer number (2328390720).

Almost surely, 2130148258574 is an apocalyptic number.

130148258574 is an abundant number, since it is smaller than the sum of its proper divisors (167885753586).

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

130148258574 is a wasteful number, since it uses less digits than its factorization.

130148258574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 130148258574 in words is "one hundred thirty billion, one hundred forty-eight million, two hundred fifty-eight thousand, five hundred seventy-four".

Divisors: 1 2 3 6 19 23 37 38 46 57 67 69 74 111 114 134 138 201 222 402 437 703 851 874 1273 1311 1406 1541 1702 2109 2479 2546 2553 2622 3082 3819 4218 4623 4958 5106 7437 7638 9246 14874 16169 20023 29279 32338 40046 47101 48507 57017 58558 60069 87837 94202 97014 114034 120138 141303 171051 175674 282606 342102 380437 460529 740851 760874 921058 1083323 1141311 1341541 1381587 1481702 2166646 2222553 2282622 2683082 2763174 3249969 4024623 4445106 6499938 8049246 8750051 14076169 17039573 17500102 25489279 26250153 28152338 30855443 34079146 42228507 49637017 50978558 51118719 52500306 61710886 76467837 84457014 92566329 99274034 102237438 148911051 152935674 185132658 297822102 323751887 586253417 647503774 943103323 971255661 1141651391 1172506834 1758760251 1886206646 1942511322 2283302782 2829309969 3424954173 3517520502 5658619938 6849908346 21691376429 43382752858 65074129287 130148258574