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148163305680 = 243351319331839
BaseRepresentation
bin1000100111111100111…
…0001010000011010000
3112011102202101202221000
42021333032022003100
54411414301240210
6152022033502000
713463424214215
oct2117716120320
9464382352830
10148163305680
1157921361565
122486b711900
1310c82bb23a0
147257885b0c
153cc2728ac0
hex227f38a0d0

148163305680 has 640 divisors, whose sum is σ = 580962816000. Its totient is φ = 34406000640.

The previous prime is 148163305603. The next prime is 148163305687. The reversal of 148163305680 is 86503361841.

148163305680 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 633 + 0 + 5 + 6 + 8 + 0 = 666.

148163305680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148163305687) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 176594701 + ... + 176595539.

It is an arithmetic number, because the mean of its divisors is an integer number (907754400).

Almost surely, 2148163305680 is an apocalyptic number.

148163305680 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 148163305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290481408000).

148163305680 is an abundant number, since it is smaller than the sum of its proper divisors (432799510320).

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

148163305680 is a wasteful number, since it uses less digits than its factorization.

148163305680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148163305680 in words is "one hundred forty-eight billion, one hundred sixty-three million, three hundred five thousand, six hundred eighty".