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31842156416 = 277311146391
BaseRepresentation
bin11101101001111100…
…001011111110000000
310001012010122010220112
4131221330023332000
51010203043001131
622343355530452
72205035602160
oct355174137600
9101163563815
1031842156416
1112560081454
126207a59a28
133005c25395
141780d765a0
15c6570d02b
hex769f0bf80

31842156416 has 64 divisors (see below), whose sum is σ = 74836469760. Its totient is φ = 13206412800.

The previous prime is 31842156349. The next prime is 31842156419. The reversal of 31842156416 is 61465124813.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31842156419) 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 7 ways as a sum of consecutive naturals, for example, 545420 + ... + 600971.

It is an arithmetic number, because the mean of its divisors is an integer number (1169319840).

Almost surely, 231842156416 is an apocalyptic number.

It is an amenable number.

31842156416 is an abundant number, since it is smaller than the sum of its proper divisors (42994313344).

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

31842156416 is a wasteful number, since it uses less digits than its factorization.

31842156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146443 (or 1146431 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The spelling of 31842156416 in words is "thirty-one billion, eight hundred forty-two million, one hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 1146391 2292782 4585564 8024737 9171128 16049474 18342256 32098948 35538121 36684512 64197896 71076242 73369024 128395792 142152484 146738048 248766847 256791584 284304968 497533694 513583168 568609936 995067388 1027166336 1137219872 1990134776 2274439744 3980269552 4548879488 7960539104 15921078208 31842156416