Search a number
-
+
161533943424 = 27327171962017
BaseRepresentation
bin1001011001110000101…
…1000101111010000000
3120102221120121112210100
42112130023011322000
510121310142142144
6202112505002400
714445650602320
oct2263413057200
9512846545710
10161533943424
11625627775a7
1227381483400
1312303cb4a59
147b65531280
15430648e269
hex259c2c5e80

161533943424 has 384 divisors, whose sum is σ = 592098249600. Its totient is φ = 41150840832.

The previous prime is 161533943381. The next prime is 161533943429. The reversal of 161533943424 is 424349335161.

161533943424 is a `hidden beast` number, since 1 + 6 + 1 + 533 + 94 + 3 + 4 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161533943424.

It is not an unprimeable number, because it can be changed into a prime (161533943429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2573664 + ... + 2635680.

It is an arithmetic number, because the mean of its divisors is an integer number (1541922525).

Almost surely, 2161533943424 is an apocalyptic number.

161533943424 is a gapful number since it is divisible by the number (14) 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 161533943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296049124800).

161533943424 is an abundant number, since it is smaller than the sum of its proper divisors (430564306176).

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

161533943424 is a wasteful number, since it uses less digits than its factorization.

161533943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62080 (or 62065 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 161533943424 in words is "one hundred sixty-one billion, five hundred thirty-three million, nine hundred forty-three thousand, four hundred twenty-four".