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131533879840 = 25511307243437
BaseRepresentation
bin111101010000000000…
…1111011101000100000
3110120111211012102012021
41322200001323220200
54123340133123330
6140231551311224
712334350350146
oct1724001735040
9416454172167
10131533879840
115086849a820
12215aa51b514
13c5328c9a3c
14651b0ab596
15364c85167a
hex1ea007ba20

131533879840 has 96 divisors (see below), whose sum is σ = 340104308544. Its totient is φ = 47674506240.

The previous prime is 131533879823. The next prime is 131533879861. The reversal of 131533879840 is 48978335131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418602 + ... + 662038.

It is an arithmetic number, because the mean of its divisors is an integer number (3542753214).

Almost surely, 2131533879840 is an apocalyptic number.

131533879840 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 131533879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170052154272).

131533879840 is an abundant number, since it is smaller than the sum of its proper divisors (208570428704).

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

131533879840 is a wasteful number, since it uses less digits than its factorization.

131533879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243770 (or 243762 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 131533879840 in words is "one hundred thirty-one billion, five hundred thirty-three million, eight hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 307 352 440 614 880 1228 1535 1760 2456 3070 3377 4912 6140 6754 9824 12280 13508 16885 24560 27016 33770 49120 54032 67540 108064 135080 243437 270160 486874 540320 973748 1217185 1947496 2434370 2677807 3894992 4868740 5355614 7789984 9737480 10711228 13389035 19474960 21422456 26778070 38949920 42844912 53556140 74735159 85689824 107112280 149470318 214224560 298940636 373675795 428449120 597881272 747351590 822086749 1195762544 1494703180 1644173498 2391525088 2989406360 3288346996 4110433745 5978812720 6576693992 8220867490 11957625440 13153387984 16441734980 26306775968 32883469960 65766939920 131533879840