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148120822080 = 26325721195419
BaseRepresentation
bin1000100111110010110…
…0000110000101000000
3112011022210110101101100
42021330230012011000
54411322412301310
6152013515134400
713462400133300
oct2117454060500
9464283411340
10148120822080
11578aa384a50
1224859444400
1310c7715926a
147251d87600
153cbdb35ec0
hex227cb06140

148120822080 has 504 divisors, whose sum is σ = 646537675680. Its totient is φ = 30778030080.

The previous prime is 148120822049. The next prime is 148120822081. The reversal of 148120822080 is 80228021841.

148120822080 is a `hidden beast` number, since 1 + 481 + 2 + 0 + 82 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (148120822081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1504611 + ... + 1600029.

Almost surely, 2148120822080 is an apocalyptic number.

148120822080 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 148120822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323268837840).

148120822080 is an abundant number, since it is smaller than the sum of its proper divisors (498416853600).

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

148120822080 is a wasteful number, since it uses less digits than its factorization.

148120822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95467 (or 95447 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 148120822080 in words is "one hundred forty-eight billion, one hundred twenty million, eight hundred twenty-two thousand, eighty".