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148948036160 = 26572113189313
BaseRepresentation
bin1000101010110111111…
…1101010101001000000
3112020110110000012202212
42022231333222221000
54420021144124120
6152231545201252
713522033263200
oct2125577525100
9466413005685
10148948036160
1158194313150
1224a4a490228
131107964a051
1472cdb98400
153d1b5866c5
hex22adfeaa40

148948036160 has 672 divisors, whose sum is σ = 471338818560. Its totient is φ = 44281036800.

The previous prime is 148948036123. The next prime is 148948036169. The reversal of 148948036160 is 61630849841.

148948036160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 148948036099 and 148948036108.

It is not an unprimeable number, because it can be changed into a prime (148948036169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475872164 + ... + 475872476.

Almost surely, 2148948036160 is an apocalyptic number.

148948036160 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 148948036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235669409280).

148948036160 is an abundant number, since it is smaller than the sum of its proper divisors (322390782400).

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

148948036160 is a wasteful number, since it uses less digits than its factorization.

148948036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 148948036160 in words is "one hundred forty-eight billion, nine hundred forty-eight million, thirty-six thousand, one hundred sixty".