Search a number
-
+
148228899658560 = 2632578221894371
BaseRepresentation
bin100001101101000000111010…
…111010001101101101000000
3201102211112200212201101122100
4201231000322322031231000
5123412040241303033220
61243131225541110400
743136120213223540
oct4155007272155500
9642745625641570
10148228899658560
11432595835a0916
121475b9066b8400
136492c04a488b6
142886461ca9320
151220b91aecd90
hex86d03ae8db40

148228899658560 has 336 divisors, whose sum is σ = 582752274728832. Its totient is φ = 33876732211200.

The previous prime is 148228899658523. The next prime is 148228899658579. The reversal of 148228899658560 is 65856998822841.

It is a happy number.

148228899658560 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 28 + 8 + 9 + 9 + 6 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 148228899658560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165288175 + ... + 166182545.

Almost surely, 2148228899658560 is an apocalyptic number.

148228899658560 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 148228899658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291376137364416).

148228899658560 is an abundant number, since it is smaller than the sum of its proper divisors (434523375070272).

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

148228899658560 is a wasteful number, since it uses less digits than its factorization.

148228899658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902622 (or 902609 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 81.

The spelling of 148228899658560 in words is "one hundred forty-eight trillion, two hundred twenty-eight billion, eight hundred ninety-nine million, six hundred fifty-eight thousand, five hundred sixty".