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161563314 = 231121391601
BaseRepresentation
bin10011010000101…
…00001010110010
3102021000021012110
421220110022302
5312330011224
624010510150
74001160033
oct1150241262
9367007173
10161563314
118321aa00
1246135356
132761a1c3
1417658a8a
15e2b5929
hex9a142b2

161563314 has 48 divisors (see below), whose sum is σ = 357950880. Its totient is φ = 48576000.

The previous prime is 161563313. The next prime is 161563373. The reversal of 161563314 is 413365161.

It is a super-2 number, since 2×1615633142 = 52205408861325192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (161563313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100114 + ... + 101714.

It is an arithmetic number, because the mean of its divisors is an integer number (7457310).

Almost surely, 2161563314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161563314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178975440).

161563314 is an abundant number, since it is smaller than the sum of its proper divisors (196387566).

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

161563314 is a wasteful number, since it uses less digits than its factorization.

161563314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 161563314 is about 12710.7558390522. The cubic root of 161563314 is about 544.6459153885.

The spelling of 161563314 in words is "one hundred sixty-one million, five hundred sixty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 139 242 278 363 417 726 834 1529 1601 3058 3202 4587 4803 9174 9606 16819 17611 33638 35222 50457 52833 100914 105666 193721 222539 387442 445078 581163 667617 1162326 1335234 2447929 4895858 7343787 14687574 26927219 53854438 80781657 161563314