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132656150460240 = 243251123936999379
BaseRepresentation
bin11110001010011001101010…
…101110011011011101010000
3122101200210201012201010011200
4132022121222232123131100
5114341414244004211430
61150045221052311200
736641043034123341
oct3612315256333520
9571623635633150
10132656150460240
11392a5180661450
1212a65798472500
135903562812a54
1424a88403da0c8
151050a56be2460
hex78a66ab9b750

132656150460240 has 240 divisors, whose sum is σ = 486207060131520. Its totient is φ = 32145623377920.

The previous prime is 132656150460209. The next prime is 132656150460263. The reversal of 132656150460240 is 42064051656231.

132656150460240 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 61 + 504 + 60 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15452871 + ... + 22452249.

It is an arithmetic number, because the mean of its divisors is an integer number (2025862750548).

Almost surely, 2132656150460240 is an apocalyptic number.

132656150460240 is a gapful number since it is divisible by the number (10) 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 132656150460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243103530065760).

132656150460240 is an abundant number, since it is smaller than the sum of its proper divisors (353550909671280).

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

132656150460240 is a wasteful number, since it uses less digits than its factorization.

132656150460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001802 (or 7001793 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 132656150460240 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred fifty million, four hundred sixty thousand, two hundred forty".