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132314742504 = 233271913817329
BaseRepresentation
bin111101100111010010…
…0101011111011101000
3110122112020112100101200
41323032210223323220
54131440033230004
6140441244044200
712362611516530
oct1731644537350
9418466470350
10132314742504
115112924a46a
1221787b33660
13c62860c059
146592a944c0
153696198239
hex1ece92bee8

132314742504 has 96 divisors (see below), whose sum is σ = 431100696000. Its totient is φ = 35814514176.

The previous prime is 132314742503. The next prime is 132314742509. The reversal of 132314742504 is 405247413231.

132314742504 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 147 + 4 + 2 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132314742503) 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, 6899089 + ... + 6918240.

It is an arithmetic number, because the mean of its divisors is an integer number (4490632250).

Almost surely, 2132314742504 is an apocalyptic number.

132314742504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132314742504 is an abundant number, since it is smaller than the sum of its proper divisors (298785953496).

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

132314742504 is a wasteful number, since it uses less digits than its factorization.

132314742504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817367 (or 13817360 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 132314742504 in words is "one hundred thirty-two billion, three hundred fourteen million, seven hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 13817329 27634658 41451987 55269316 82903974 96721303 110538632 124355961 165807948 193442606 248711922 262529251 290163909 331615896 386885212 497423844 525058502 580327818 773770424 787587753 870491727 994847688 1050117004 1160655636 1575175506 1740983454 1837704757 2100234008 2321311272 2362763259 3150351012 3481966908 3675409514 4725526518 5513114271 6300702024 6963933816 7350819028 9451053036 11026228542 14701638056 16539342813 18902106072 22052457084 33078685626 44104914168 66157371252 132314742504