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132350549904 = 24321986356053
BaseRepresentation
bin111101101000010110…
…1010001111110010000
3110122121201220112220200
41323100231101332100
54132023220044104
6140445003335200
712363525053346
oct1732055217620
9418551815820
10132350549904
1151147487061
1221797b21500
13c632b68471
146597735996
1536993bcb39
hex1ed0b51f90

132350549904 has 120 divisors (see below), whose sum is σ = 390351087360. Its totient is φ = 41745735936.

The previous prime is 132350549873. The next prime is 132350549927. The reversal of 132350549904 is 409945053231.

132350549904 is a `hidden beast` number, since 13 + 2 + 3 + 5 + 0 + 549 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132350549904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2333142 + ... + 2389194.

It is an arithmetic number, because the mean of its divisors is an integer number (3252925728).

Almost surely, 2132350549904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132350549904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195175543680).

132350549904 is an abundant number, since it is smaller than the sum of its proper divisors (258000537456).

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

132350549904 is a wasteful number, since it uses less digits than its factorization.

132350549904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56949 (or 56940 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 132350549904 in words is "one hundred thirty-two billion, three hundred fifty million, five hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 863 912 1368 1726 2589 2736 3452 5178 6904 7767 10356 13808 15534 16397 20712 31068 32794 41424 49191 56053 62136 65588 98382 112106 124272 131176 147573 168159 196764 224212 262352 295146 336318 393528 448424 504477 590292 672636 787056 896848 1008954 1065007 1180584 1345272 2017908 2130014 2361168 2690544 3195021 4035816 4260028 6390042 8071632 8520056 9585063 12780084 17040112 19170126 25560168 38340252 48373739 51120336 76680504 96747478 145121217 153361008 193494956 290242434 386989912 435363651 580484868 773979824 870727302 919101041 1160969736 1741454604 1838202082 2321939472 2757303123 3482909208 3676404164 5514606246 6965818416 7352808328 8271909369 11029212492 14705616656 16543818738 22058424984 33087637476 44116849968 66175274952 132350549904