Search a number
-
+
148389470208 = 21335723463
BaseRepresentation
bin1000101000110010110…
…0111010000000000000
3112012000111222010100000
42022030230322000000
54412400201021313
6152100313200000
713502141454060
oct2121454720000
9465014863300
10148389470208
1157a27a952a1
1224913400000
1310cba9ca955
1472799193a0
153cd7500673
hex228cb3a000

148389470208 has 672 divisors, whose sum is σ = 531268448256. Its totient is φ = 40466055168.

The previous prime is 148389470197. The next prime is 148389470213. The reversal of 148389470208 is 802074983841.

It is a happy number.

148389470208 is a `hidden beast` number, since 1 + 483 + 8 + 94 + 70 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1483894702082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 320495385 + ... + 320495847.

It is an arithmetic number, because the mean of its divisors is an integer number (790578048).

Almost surely, 2148389470208 is an apocalyptic number.

148389470208 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 148389470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265634224128).

148389470208 is an abundant number, since it is smaller than the sum of its proper divisors (382878978048).

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

148389470208 is an frugal number, since it uses more digits than its factorization.

148389470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 148389470208 in words is "one hundred forty-eight billion, three hundred eighty-nine million, four hundred seventy thousand, two hundred eight".