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132936085840 = 24529432515309
BaseRepresentation
bin111101111001110011…
…0111011000101010000
3110201010112200212012211
41323303212323011100
54134223114221330
6141023041401504
712414165041245
oct1736346730520
9421115625184
10132936085840
1151417a55958
1221920039294
13c6c726b62c
1466113d55cc
1536d09ced2a
hex1ef39bb150

132936085840 has 160 divisors (see below), whose sum is σ = 328535222400. Its totient is φ = 49937664000.

The previous prime is 132936085829. The next prime is 132936085847. The reversal of 132936085840 is 48580639231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132936085847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25037106 + ... + 25042414.

It is an arithmetic number, because the mean of its divisors is an integer number (2053345140).

Almost surely, 2132936085840 is an apocalyptic number.

132936085840 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 132936085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164267611200).

132936085840 is an abundant number, since it is smaller than the sum of its proper divisors (195599136560).

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

132936085840 is a wasteful number, since it uses less digits than its factorization.

132936085840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 132936085840 in words is "one hundred thirty-two billion, nine hundred thirty-six million, eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 251 290 344 430 464 502 580 688 860 1004 1160 1247 1255 1720 2008 2320 2494 2510 3440 4016 4988 5020 5309 6235 7279 9976 10040 10618 10793 12470 14558 19952 20080 21236 21586 24940 26545 29116 36395 42472 43172 49880 53090 53965 58232 72790 84944 86344 99760 106180 107930 116464 145580 153961 172688 212360 215860 228287 291160 307922 312997 424720 431720 456574 582320 615844 625994 769805 863440 913148 1141435 1231688 1251988 1332559 1539610 1564985 1826296 2282870 2463376 2503976 2665118 3079220 3129970 3652592 4565740 5007952 5330236 6158440 6259940 6620323 6662795 9131480 10660472 12316880 12519880 13240646 13325590 18262960 21320944 25039760 26481292 26651180 33101615 38644211 52962584 53302360 57300037 66203230 77288422 105925168 106604720 114600074 132406460 154576844 193221055 229200148 264812920 286500185 309153688 386442110 458400296 529625840 573000370 618307376 772884220 916800592 1146000740 1545768440 1661701073 2292001480 3091536880 3323402146 4584002960 6646804292 8308505365 13293608584 16617010730 26587217168 33234021460 66468042920 132936085840