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132115723632 = 243229117127017
BaseRepresentation
bin111101100001010110…
…1011111010101110000
3110122000101001010211100
41323002231133111300
54131033111124012
6140405414244400
712354644056554
oct1730255372560
9418011033740
10132115723632
1151036977662
1221731356700
13c5c63094c9
146574489864
1536839848dc
hex1ec2b5f570

132115723632 has 120 divisors (see below), whose sum is σ = 382831010640. Its totient is φ = 42482119680.

The previous prime is 132115723583. The next prime is 132115723633. The reversal of 132115723632 is 236327511231.

132115723632 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 15 + 7 + 2 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132115723633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876588 + ... + 4903604.

It is an arithmetic number, because the mean of its divisors is an integer number (3190258422).

Almost surely, 2132115723632 is an apocalyptic number.

132115723632 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 132115723632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191415505320).

132115723632 is an abundant number, since it is smaller than the sum of its proper divisors (250715287008).

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

132115723632 is a wasteful number, since it uses less digits than its factorization.

132115723632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28231 (or 28222 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 132115723632 in words is "one hundred thirty-two billion, one hundred fifteen million, seven hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1171 1392 2088 2342 3513 4176 4684 7026 9368 10539 14052 18736 21078 27017 28104 33959 42156 54034 56208 67918 81051 84312 101877 108068 135836 162102 168624 203754 216136 243153 271672 305631 324204 407508 432272 486306 543344 611262 648408 783493 815016 972612 1222524 1296816 1566986 1630032 1945224 2350479 2445048 3133972 3890448 4700958 4890096 6267944 7051437 9401916 12535888 14102874 18803832 28205748 31636907 37607664 56411496 63273814 94910721 112822992 126547628 189821442 253095256 284732163 379642884 506190512 569464326 759285768 917470303 1138928652 1518571536 1834940606 2277857304 2752410909 3669881212 4555714608 5504821818 7339762424 8257232727 11009643636 14679524848 16514465454 22019287272 33028930908 44038574544 66057861816 132115723632