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33104000000 = 210562069
BaseRepresentation
bin11110110101001001…
…101111010000000000
310011110002000102220002
4132311021233100000
51020244111000000
623112513335132
72251230233351
oct366511572000
9104402012802
1033104000000
1113048388195
1264ba5674a8
1331774909a6
1418607a3d28
15cdb3b28d5
hex7b526f400

33104000000 has 154 divisors (see below), whose sum is σ = 82758510990. Its totient is φ = 13235200000.

The previous prime is 33103999987. The next prime is 33104000003. The reversal of 33104000000 is 40133.

It can be written as a sum of positive squares in 7 ways, for example, as 31496310784 + 1607689216 = 177472^2 + 40096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33104000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15998966 + ... + 16001034.

Almost surely, 233104000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41379255495).

33104000000 is an abundant number, since it is smaller than the sum of its proper divisors (49654510990).

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

33104000000 is an frugal number, since it uses more digits than its factorization.

33104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 33104000000 its reverse (40133), we get a palindrome (33104040133).

The spelling of 33104000000 in words is "thirty-three billion, one hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2069 2500 2560 3125 3200 4000 4138 5000 5120 6250 6400 8000 8276 10000 10345 12500 12800 15625 16000 16552 20000 20690 25000 25600 31250 32000 33104 40000 41380 50000 51725 62500 64000 66208 80000 82760 100000 103450 125000 128000 132416 160000 165520 200000 206900 250000 258625 264832 320000 331040 400000 413800 500000 517250 529664 640000 662080 800000 827600 1000000 1034500 1059328 1293125 1324160 1600000 1655200 2000000 2069000 2118656 2586250 2648320 3200000 3310400 4000000 4138000 5172500 5296640 6465625 6620800 8000000 8276000 10345000 10593280 12931250 13241600 16000000 16552000 20690000 25862500 26483200 32328125 33104000 41380000 51725000 52966400 64656250 66208000 82760000 103450000 129312500 132416000 165520000 206900000 258625000 264832000 331040000 413800000 517250000 662080000 827600000 1034500000 1324160000 1655200000 2069000000 3310400000 4138000000 6620800000 8276000000 16552000000 33104000000