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148214062080 = 210325717151179
BaseRepresentation
bin1000101000001000111…
…1110001110000000000
3112011120021220110121200
42022002033301300000
54412020244441310
6152031045421200
713464611512110
oct2120217616000
9464507813550
10148214062080
1157947a795a7
122488470a800
1310c90573b66
1472604d9040
153cc6e029c0
hex22823f1c00

148214062080 has 1056 divisors, whose sum is σ = 629058493440. Its totient is φ = 31496601600.

The previous prime is 148214062067. The next prime is 148214062081. The reversal of 148214062080 is 80260412841.

148214062080 is a `hidden beast` number, since 1 + 4 + 8 + 21 + 4 + 0 + 620 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148214062081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828011431 + ... + 828011609.

Almost surely, 2148214062080 is an apocalyptic number.

148214062080 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 148214062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314529246720).

148214062080 is an abundant number, since it is smaller than the sum of its proper divisors (480844431360).

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

148214062080 is a wasteful number, since it uses less digits than its factorization.

148214062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 148214062080 in words is "one hundred forty-eight billion, two hundred fourteen million, sixty-two thousand, eighty".