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13166336000 = 2115351431
BaseRepresentation
bin11000100001100011…
…00101100000000000
31020222120210011120002
430100301211200000
5203431040223000
610014252135132
7644163003146
oct142061454000
936876704502
1013166336000
115647065124
1226754674a8
13131a9a037c
148cc8a7596
15520d5b8d5
hex310c65800

13166336000 has 96 divisors (see below), whose sum is σ = 32855790240. Its totient is φ = 5266432000.

The previous prime is 13166335997. The next prime is 13166336009. The reversal of 13166336000 is 63366131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13166336009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230285 + ... + 281715.

It is an arithmetic number, because the mean of its divisors is an integer number (342247815).

Almost surely, 213166336000 is an apocalyptic number.

13166336000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13166336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427895120).

13166336000 is an abundant number, since it is smaller than the sum of its proper divisors (19689454240).

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

13166336000 is an frugal number, since it uses more digits than its factorization.

13166336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51468 (or 51438 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 13166336000 in words is "thirteen billion, one hundred sixty-six million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 5120 6400 8000 10240 12800 16000 25600 32000 51200 51431 64000 102862 128000 205724 256000 257155 411448 514310 822896 1028620 1285775 1645792 2057240 2571550 3291584 4114480 5143100 6428875 6583168 8228960 10286200 12857750 13166336 16457920 20572400 25715500 26332672 32915840 41144800 51431000 52665344 65831680 82289600 102862000 105330688 131663360 164579200 205724000 263326720 329158400 411448000 526653440 658316800 822896000 1316633600 1645792000 2633267200 3291584000 6583168000 13166336000