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132494788853280 = 25 ⋅ 32 ⋅ 5 ⋅ 72 ⋅ 31 ⋅ 2539 ⋅ 23857
BaseRepresentation
bin11110001000000011011000…
……110100101111111000100000
3122101010101012122101011120100
4132020003120310233320200
5114331243311421301110
61145443133221142400
736623301245110500
oct3610033064577040
9571111178334510
10132494788853280
11392427a71a2887
1212a3a46485aa00
1358c128844a949
1424a0ad3b29a00
15104b760945bc0
hex7880d8d2fe20

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(max 15 digits)

132494788853280 has 864 divisors, whose sum is σ = 543159946667520. Its totient is φ = 29294832107520.

The previous prime is 132494788853269. The next prime is 132494788853291. The reversal of 132494788853280 is 82358887494231.

132494788853280 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 4 + 7 + 8 + 8 + 8 + 532 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (132494788853269) and next prime (132494788853291).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 132494788853199 and 132494788853208.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5553695112 + ... + 5553718968.

It is an arithmetic number, because the mean of its divisors is an integer number (628657345680).

Almost surely, 2132494788853280 is an apocalyptic number.

132494788853280 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 132494788853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271579973333760).

132494788853280 is an abundant number, since it is smaller than the sum of its proper divisors (410665157814240).

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

132494788853280 is a wasteful number, since it uses less digits than its factorization.

132494788853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26462 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 132494788853280 in words is "one hundred thirty-two trillion, four hundred ninety-four billion, seven hundred eighty-eight million, eight hundred fifty-three thousand, two hundred eighty".