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232301161103232 = 2731346534687721
BaseRepresentation
bin110100110100011011010100…
…001100000011111110000000
31010110111202220022220211222010
4310310123110030003332000
5220422010234220300412
62142021402525212520
766634130220451164
oct6464332414037600
91113452808824863
10232301161103232
1168022407400531
1222079630a01140
139c80ba04b6c10
144151616c88ca4
151bcca4640a33c
hexd346d4303f80

232301161103232 has 64 divisors (see below), whose sum is σ = 664515340670160. Its totient is φ = 71477280337920.

The previous prime is 232301161103153. The next prime is 232301161103243.

232301161103232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 232301161103232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23267338869 + ... + 23267348852.

Almost surely, 2232301161103232 is an apocalyptic number.

It is an amenable number.

232301161103232 is an abundant number, since it is smaller than the sum of its proper divisors (432214179566928).

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

232301161103232 is a wasteful number, since it uses less digits than its factorization.

232301161103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46534687751 (or 46534687739 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 232301161103232 in words is "two hundred thirty-two trillion, three hundred one billion, one hundred sixty-one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 46534687721 93069375442 139604063163 186138750884 279208126326 372277501768 558416252652 604950940373 744555003536 1116832505304 1209901880746 1489110007072 1814852821119 2233665010608 2419803761492 2978220014144 3629705642238 4467330021216 4839607522984 5956440028288 7259411284476 8934660042432 9679215045968 14518822568952 17869320084864 19358430091936 29037645137904 38716860183872 58075290275808 77433720367744 116150580551616 232301161103232