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148769140608 = 273211374347157
BaseRepresentation
bin1000101010001101010…
…1001110111110000000
3112012222222101101012200
42022203111032332000
54414134344444413
6152202114553200
713514431554624
oct2124325167600
9465888341180
10148769140608
1158102335290
12249ba598800
131104b571aaa
1472b410b184
153d0a9ea573
hex22a354ef80

148769140608 has 768 divisors, whose sum is σ = 504428221440. Its totient is φ = 41664430080.

The previous prime is 148769140591. The next prime is 148769140621. The reversal of 148769140608 is 806041967841.

148769140608 is a `hidden beast` number, since 1 + 487 + 69 + 1 + 40 + 60 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947574066 + ... + 947574222.

It is an arithmetic number, because the mean of its divisors is an integer number (656807580).

Almost surely, 2148769140608 is an apocalyptic number.

148769140608 is a gapful number since it is divisible by the number (18) 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 148769140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252214110720).

148769140608 is an abundant number, since it is smaller than the sum of its proper divisors (355659080832).

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

148769140608 is a wasteful number, since it uses less digits than its factorization.

148769140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 148769140608 in words is "one hundred forty-eight billion, seven hundred sixty-nine million, one hundred forty thousand, six hundred eight".