Search a number
-
+
985663161 = 3571493889
BaseRepresentation
bin111010110000000…
…000011010111001
32112200200212200000
4322300000122321
54004312210121
6241450103213
733265666350
oct7260003271
92480625600
10985663161
1146642135a
1223611ab09
1312928a652
1494c98997
155b7ed526
hex3ac006b9

985663161 has 48 divisors (see below), whose sum is σ = 1699152000. Its totient is φ = 559312128.

The previous prime is 985663153. The next prime is 985663177. The reversal of 985663161 is 161366589.

985663161 is a `hidden beast` number, since 9 + 8 + 5 + 6 + 631 + 6 + 1 = 666.

It is not a de Polignac number, because 985663161 - 23 = 985663153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (985663121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251505 + ... + 255393.

It is an arithmetic number, because the mean of its divisors is an integer number (35399000).

Almost surely, 2985663161 is an apocalyptic number.

It is an amenable number.

985663161 is a deficient number, since it is larger than the sum of its proper divisors (713488839).

985663161 is a wasteful number, since it uses less digits than its factorization.

985663161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4048 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 985663161 is about 31395.2729085128. The cubic root of 985663161 is about 995.1980316763.

The spelling of 985663161 in words is "nine hundred eighty-five million, six hundred sixty-three thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 81 149 189 243 447 567 1043 1341 1701 3129 3889 4023 9387 11667 12069 27223 28161 35001 36207 81669 84483 105003 245007 253449 315009 579461 735021 945027 1738383 2205063 4056227 5215149 6615189 12168681 15645447 36506043 46936341 109518129 140809023 328554387 985663161