Search a number
-
+
161290483200 = 29335271121929
BaseRepresentation
bin1001011000110110101…
…0010111011000000000
3120102022121111111011000
42112031222113120000
510120310330430300
6202032410452000
714436633325620
oct2261552273000
9512277444130
10161290483200
1162448300300
1227313a34000
1312295721c52
147b41078880
1542dedecc00
hex258da97600

161290483200 has 2880 divisors, whose sum is σ = 809823168000. Its totient is φ = 30656102400.

The previous prime is 161290483157. The next prime is 161290483241. The reversal of 161290483200 is 2384092161.

161290483200 is a `hidden beast` number, since 1 + 6 + 1 + 290 + 48 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5561740786 + ... + 5561740814.

It is an arithmetic number, because the mean of its divisors is an integer number (281188600).

Almost surely, 2161290483200 is an apocalyptic number.

161290483200 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 161290483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404911584000).

161290483200 is an abundant number, since it is smaller than the sum of its proper divisors (648532684800).

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

161290483200 is a wasteful number, since it uses less digits than its factorization.

161290483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 161290483200 in words is "one hundred sixty-one billion, two hundred ninety million, four hundred eighty-three thousand, two hundred".