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130776203840 = 2653078811511
BaseRepresentation
bin111100111001011011…
…1101000001001000000
3110111120000111111010012
41321302313220021000
54120312202010330
6140024443524052
712306520251212
oct1716267501100
9414500444105
10130776203840
1150509837607
1221418829628
13c441945449
1464885dc5b2
153606089c95
hex1e72de8240

130776203840 has 112 divisors (see below), whose sum is σ = 312986830464. Its totient is φ = 52046438400.

The previous prime is 130776203819. The next prime is 130776203863. The reversal of 130776203840 is 48302677031.

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, 86548685 + ... + 86550195.

It is an arithmetic number, because the mean of its divisors is an integer number (2794525272).

Almost surely, 2130776203840 is an apocalyptic number.

130776203840 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 130776203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156493415232).

130776203840 is an abundant number, since it is smaller than the sum of its proper divisors (182210626624).

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

130776203840 is a wasteful number, since it uses less digits than its factorization.

130776203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 130776203840 in words is "one hundred thirty billion, seven hundred seventy-six million, two hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 307 320 614 881 1228 1511 1535 1762 2456 3022 3070 3524 4405 4912 6044 6140 7048 7555 8810 9824 12088 12280 14096 15110 17620 19648 24176 24560 28192 30220 35240 48352 49120 56384 60440 70480 96704 98240 120880 140960 241760 270467 281920 463877 483520 540934 927754 1081868 1331191 1352335 1855508 2163736 2319385 2662382 2704670 3711016 4327472 4638770 5324764 5409340 6655955 7422032 8654944 9277540 10649528 10818680 13311910 14844064 17309888 18555080 21299056 21637360 26623820 29688128 37110160 42598112 43274720 53247640 74220320 85196224 86549440 106495280 148440640 212990560 408675637 425981120 817351274 1634702548 2043378185 3269405096 4086756370 6538810192 8173512740 13077620384 16347025480 26155240768 32694050960 65388101920 130776203840