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123275796480 = 213335177983
BaseRepresentation
bin111001011001111001…
…1110110000000000000
3102210012022011022111000
41302303303312000000
54004432100441410
6132344312052000
711622613660314
oct1626363660000
9383168138430
10123275796480
114830aa78541
121ba84994000
13b817a73b95
145d76421b44
153317876dc0
hex1cb3cf6000

123275796480 has 896 divisors, whose sum is σ = 475605043200. Its totient is φ = 30180114432.

The previous prime is 123275796439. The next prime is 123275796481. The reversal of 123275796480 is 84697572321.

It is a happy number.

123275796480 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 7 + 579 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123275796481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485250519 + ... + 1485250601.

It is an arithmetic number, because the mean of its divisors is an integer number (530809200).

It is a 1-persistent number, because it is pandigital, but 2⋅123275796480 = 246551592960 is not.

Almost surely, 2123275796480 is an apocalyptic number.

123275796480 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 123275796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237802521600).

123275796480 is an abundant number, since it is smaller than the sum of its proper divisors (352329246720).

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

123275796480 is an equidigital number, since it uses as much as digits as its factorization.

123275796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 123275796480 in words is "one hundred twenty-three billion, two hundred seventy-five million, seven hundred ninety-six thousand, four hundred eighty".