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132153454116053 = 7310193113192497
BaseRepresentation
bin11110000011000101011111…
…101100000011110011010101
3122022220202011102211221001122
4132003011133230003303111
5114310200233223203203
61145022243025133325
736556525534525136
oct3603053754036325
9568822142757048
10132153454116053
1139120a68684727
12129a428448a245
13589802bb8b556
14248c393055c8d
1510429344ec538
hex78315fb03cd5

132153454116053 has 16 divisors (see below), whose sum is σ = 135292305211056. Its totient is φ = 129050550374400.

The previous prime is 132153454115953. The next prime is 132153454116083. The reversal of 132153454116053 is 350611454351231.

It can be written as a sum of positive squares in 8 ways, for example, as 38192671920484 + 93960782195569 = 6180022^2 + 9693337^2 .

It is a cyclic number.

It is not a de Polignac number, because 132153454116053 - 242 = 127755407604949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132153454115995 and 132153454116013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153454116083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686425901 + ... + 686618397.

It is an arithmetic number, because the mean of its divisors is an integer number (8455769075691).

Almost surely, 2132153454116053 is an apocalyptic number.

It is an amenable number.

132153454116053 is a deficient number, since it is larger than the sum of its proper divisors (3138851095003).

132153454116053 is a wasteful number, since it uses less digits than its factorization.

132153454116053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285784.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 132153454116053 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred fifty-four million, one hundred sixteen thousand, fifty-three".

Divisors: 1 73 101 7373 93113 192497 6797249 9404413 14052281 19442197 686522149 1419280381 17923973161 1308450040753 1810321289261 132153454116053