Search a number
-
+
161623001541 = 3317921998503
BaseRepresentation
bin1001011010000101111…
…0110100100111000101
3120110011210012011120010
42112201132310213011
510122000442022131
6202125405500433
714451111563061
oct2264136644705
9513153164503
10161623001541
11625a8a75251
12273a7271719
1312319597071
147b732b4aa1
15430e1d1b46
hex25a17b49c5

161623001541 has 16 divisors (see below), whose sum is σ = 225264680960. Its totient is φ = 102952989360.

The previous prime is 161623001503. The next prime is 161623001581. The reversal of 161623001541 is 145100326161.

It is a happy number.

161623001541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161623001541 - 217 = 161622870469 is a prime.

It is a super-2 number, since 2×1616230015412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 161623001499 and 161623001508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161623001581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10991905 + ... + 11006598.

It is an arithmetic number, because the mean of its divisors is an integer number (14079042560).

Almost surely, 2161623001541 is an apocalyptic number.

It is an amenable number.

161623001541 is a deficient number, since it is larger than the sum of its proper divisors (63641679419).

161623001541 is a wasteful number, since it uses less digits than its factorization.

161623001541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21998616.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 161623001541 in words is "one hundred sixty-one billion, six hundred twenty-three million, one thousand, five hundred forty-one".

Divisors: 1 3 31 79 93 237 2449 7347 21998503 65995509 681953593 1737881737 2045860779 5213645211 53874333847 161623001541