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148468432608 = 253219591094219
BaseRepresentation
bin1000101001000101101…
…0000111111011100000
3112012020000112211101100
42022101122013323200
54413030404320413
6152112213434400
713504120566126
oct2122132077340
9465200484340
10148468432608
1157a68617981
122493593ba00
1311001186972
1472861d1916
153cde3eba73
hex2291687ee0

148468432608 has 288 divisors, whose sum is σ = 456215760000. Its totient is φ = 45656441856.

The previous prime is 148468432597. The next prime is 148468432631. The reversal of 148468432608 is 806234864841.

It is a happy number.

148468432608 is a `hidden beast` number, since 1 + 484 + 68 + 43 + 2 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 35188323 + ... + 35192541.

It is an arithmetic number, because the mean of its divisors is an integer number (1584082500).

Almost surely, 2148468432608 is an apocalyptic number.

148468432608 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 148468432608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228107880000).

148468432608 is an abundant number, since it is smaller than the sum of its proper divisors (307747327392).

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

148468432608 is a wasteful number, since it uses less digits than its factorization.

148468432608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 148468432608 in words is "one hundred forty-eight billion, four hundred sixty-eight million, four hundred thirty-two thousand, six hundred eight".