Search a number
-
+
170148491136 = 2735131922147
BaseRepresentation
bin1001111001110110100…
…0111110111110000000
3121021011221101220200000
42132131220332332000
510241431003204021
6210055400400000
715202303211631
oct2363550767600
9537157356600
10170148491136
1166183429818
1228b86476000
1313077948270
14834168b888
15465c8ccb26
hex279da3ef80

170148491136 has 384 divisors, whose sum is σ = 575617660800. Its totient is φ = 49595701248.

The previous prime is 170148491089. The next prime is 170148491203. The reversal of 170148491136 is 631194841071.

170148491136 is a `hidden beast` number, since 1 + 7 + 0 + 148 + 491 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 170148491091 and 170148491100.

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, 7671615 + ... + 7693761.

It is an arithmetic number, because the mean of its divisors is an integer number (1499004325).

Almost surely, 2170148491136 is an apocalyptic number.

170148491136 is a gapful number since it is divisible by the number (16) 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 170148491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287808830400).

170148491136 is an abundant number, since it is smaller than the sum of its proper divisors (405469169664).

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

170148491136 is a wasteful number, since it uses less digits than its factorization.

170148491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22208 (or 22184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 170148491136 in words is "one hundred seventy billion, one hundred forty-eight million, four hundred ninety-one thousand, one hundred thirty-six".