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130553160304 = 2473748616481
BaseRepresentation
bin111100110010110010…
…0110010001001110000
3110110222110210200220111
41321211210302021300
54114333102112204
6135550355151104
712301141360420
oct1714544621160
9413873720814
10130553160304
1150404945706
1221375ba5494
13c407680618
146466b3c480
1535e16ccd04
hex1e65932270

130553160304 has 80 divisors (see below), whose sum is σ = 297001921216. Its totient is φ = 54419558400.

The previous prime is 130553160253. The next prime is 130553160337. The reversal of 130553160304 is 403061355031.

It is a congruent number.

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, 20140744 + ... + 20147224.

Almost surely, 2130553160304 is an apocalyptic number.

130553160304 is a gapful number since it is divisible by the number (14) 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 130553160304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148500960608).

130553160304 is an abundant number, since it is smaller than the sum of its proper divisors (166448760912).

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

130553160304 is a wasteful number, since it uses less digits than its factorization.

130553160304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 130553160304 in words is "one hundred thirty billion, five hundred fifty-three million, one hundred sixty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 4861 6481 9722 12962 19444 25924 34027 38888 45367 51848 68054 77776 90734 103696 136108 179857 181468 239797 272216 359714 362936 479594 544432 719428 725872 959188 1258999 1438856 1678579 1918376 2517998 2877712 3357158 3836752 5035996 6714316 10071992 13428632 20143984 26857264 31504141 63008282 126016564 220528987 252033128 441057974 504066256 882115948 1165653217 1764231896 2331306434 3528463792 4662612868 8159572519 9325225736 16319145038 18650451472 32638290076 65276580152 130553160304