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130615252640 = 2552693538597
BaseRepresentation
bin111100110100101000…
…1101001011010100000
3110111010210122022120122
41321221101221122200
54120000001041030
6140000454055412
712302524220555
oct1715121513240
9414123568518
10130615252640
11504369a5594
122139294a568
13c4174b0a52
1464710a2a2c
1535e6d958e5
hex1e694696a0

130615252640 has 96 divisors (see below), whose sum is σ = 310639205520. Its totient is φ = 51898384384.

The previous prime is 130615252627. The next prime is 130615252673. The reversal of 130615252640 is 46252516031.

It can be written as a sum of positive squares in 8 ways, for example, as 31438126864 + 99177125776 = 177308^2 + 314924^2 .

It is a super-2 number, since 2×1306152526402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130615252640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15188822 + ... + 15197418.

Almost surely, 2130615252640 is an apocalyptic number.

130615252640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130615252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155319602760).

130615252640 is an abundant number, since it is smaller than the sum of its proper divisors (180023952880).

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

130615252640 is a wasteful number, since it uses less digits than its factorization.

130615252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 130615252640 its reverse (46252516031), we get a palindrome (176867768671).

The spelling of 130615252640 in words is "one hundred thirty billion, six hundred fifteen million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 353 538 706 1076 1345 1412 1765 2152 2690 2824 3530 4304 5380 5648 7060 8597 8608 10760 11296 14120 17194 21520 28240 34388 42985 43040 56480 68776 85970 94957 137552 171940 189914 275104 343880 379828 474785 687760 759656 949570 1375520 1519312 1899140 2312593 3034741 3038624 3798280 4625186 6069482 7596560 9250372 11562965 12138964 15173705 15193120 18500744 23125930 24277928 30347410 37001488 46251860 48555856 60694820 74002976 92503720 97111712 121389640 185007440 242779280 370014880 485558560 816345329 1632690658 3265381316 4081726645 6530762632 8163453290 13061525264 16326906580 26123050528 32653813160 65307626320 130615252640