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130277468454 = 23721925232347
BaseRepresentation
bin111100101010100100…
…1000110100100100110
3110110021021001002210020
41321111021012210212
54113302012442304
6135503150140010
712261253132200
oct1712511064446
9413237032706
10130277468454
1150283264301
12212b97b1606
13c392513b53
14643c295770
1535c73c15d9
hex1e55246926

130277468454 has 144 divisors (see below), whose sum is σ = 320634652608. Its totient is φ = 35180653536.

The previous prime is 130277468443. The next prime is 130277468459. The reversal of 130277468454 is 454864772031.

It is a junction number, because it is equal to n+sod(n) for n = 130277468397 and 130277468406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130277468459) 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 71 ways as a sum of consecutive naturals, for example, 55506909 + ... + 55509255.

It is an arithmetic number, because the mean of its divisors is an integer number (2226629532).

Almost surely, 2130277468454 is an apocalyptic number.

130277468454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130277468454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160317326304).

130277468454 is an abundant number, since it is smaller than the sum of its proper divisors (190357184154).

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

130277468454 is a wasteful number, since it uses less digits than its factorization.

130277468454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 130277468454 in words is "one hundred thirty billion, two hundred seventy-seven million, four hundred sixty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 361 399 523 722 798 931 1046 1083 1569 1862 2166 2347 2527 2793 3138 3661 4694 5054 5586 7041 7322 7581 9937 10983 14082 15162 16429 17689 19874 21966 25627 29811 32858 35378 44593 49287 51254 53067 59622 69559 76881 89186 98574 106134 115003 133779 139118 153762 188803 208677 230006 267558 312151 345009 377606 417354 486913 566409 624302 690018 847267 936453 973826 1132818 1227481 1321621 1460739 1694534 1872906 2185057 2454962 2541801 2643242 2921478 3682443 3964863 4370114 5083602 5930869 6555171 7364886 7929726 8592367 9251347 11861738 13110342 17184734 17792607 18502694 23322139 25777101 27754041 35585214 41516083 46644278 51554202 55508082 60146569 69966417 83032166 120293138 124548249 139932834 163254973 180439707 249096498 326509946 360879414 443120641 489764919 886241282 979529838 1142784811 1329361923 2285569622 2658723846 3101844487 3428354433 6203688974 6856708866 9305533461 18611066922 21712911409 43425822818 65138734227 130277468454