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3138633881161 = 312571492
BaseRepresentation
bin101101101011000101001…
…010000101011001001001
3102010001100210101010110021
4231223011022011121021
5402410410233144121
610401511332420441
7442521162542452
oct55530512053111
912101323333407
103138633881161
1110000a6002589
12428356177721
13199c83376b4c
14abca6d12129
155699a564641
hex2dac5285649

3138633881161 has 9 divisors (see below), whose sum is σ = 3243202893543. Its totient is φ = 3037334478360.

The previous prime is 3138633881087. The next prime is 3138633881177. The reversal of 3138633881161 is 1611883368313.

The square root of 3138633881161 is 1771619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79562920761 + 3059070960400 = 282069^2 + 1749020^2 .

It is a de Polignac number, because none of the positive numbers 2k-3138633881161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3138633881099 and 3138633881108.

It is not an unprimeable number, because it can be changed into a prime (3138333881161) 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 8 ways as a sum of consecutive naturals, for example, 54891615 + ... + 54948763.

Almost surely, 23138633881161 is an apocalyptic number.

3138633881161 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3138633881161 is the 1771619-th square number.

3138633881161 is the 885810-th centered octagonal number.

It is an amenable number.

3138633881161 is a deficient number, since it is larger than the sum of its proper divisors (104569012382).

3138633881161 is an frugal number, since it uses more digits than its factorization.

3138633881161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114360 (or 57180 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 3138633881161 in words is "three trillion, one hundred thirty-eight billion, six hundred thirty-three million, eight hundred eighty-one thousand, one hundred sixty-one".

Divisors: 1 31 961 57149 1771619 54920189 3266008201 101246254231 3138633881161