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133736136432 = 24397263310909
BaseRepresentation
bin111110010001101001…
…0110111111011110000
3110210012022010122022020
41330203102313323300
54142342422331212
6141234301311440
712443051255253
oct1744322677360
9423168118266
10133736136432
1151798620798
1221b03b65580
13c7c3c3b552
14668977509a
15372ad66d8c
hex1f234b7ef0

133736136432 has 80 divisors (see below), whose sum is σ = 349211294880. Its totient is φ = 44098338816.

The previous prime is 133736136407. The next prime is 133736136449. The reversal of 133736136432 is 234631637331.

It is a happy number.

It is a congruent number.

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, 12253794 + ... + 12264702.

It is an arithmetic number, because the mean of its divisors is an integer number (4365141186).

Almost surely, 2133736136432 is an apocalyptic number.

133736136432 is a gapful number since it is divisible by the number (12) 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 133736136432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174605647440).

133736136432 is an abundant number, since it is smaller than the sum of its proper divisors (215475158448).

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

133736136432 is a wasteful number, since it uses less digits than its factorization.

133736136432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13644 counting only the distinct ones).

The product of its digits is 489888, while the sum is 42.

The spelling of 133736136432 in words is "one hundred thirty-three billion, seven hundred thirty-six million, one hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 2633 4656 5266 7899 10532 10909 15798 21064 21818 31596 32727 42128 43636 63192 65454 87272 126384 130908 174544 255401 261816 510802 523632 766203 1021604 1058173 1532406 2043208 2116346 3064812 3174519 4086416 4232692 6129624 6349038 8465384 12259248 12698076 16930768 25396152 28723397 50792304 57446794 86170191 114893588 172340382 229787176 344680764 459574352 689361528 1378723056 2786169509 5572339018 8358508527 11144678036 16717017054 22289356072 33434034108 44578712144 66868068216 133736136432