Search a number
-
+
133098041904 = 2434773211071
BaseRepresentation
bin111101111110101000…
…0101111001000110000
3110201112211110002011120
41323331100233020300
54140041044320104
6141051104542240
712421202455332
oct1737520571060
9421484402146
10133098041904
11514a0413943
1221966321980
13c721995519
146628b13452
1536ded21cd9
hex1efd42f230

133098041904 has 120 divisors (see below), whose sum is σ = 356060639232. Its totient is φ = 42823365120.

The previous prime is 133098041873. The next prime is 133098041933. The reversal of 133098041904 is 409140890331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12016689 + ... + 12027759.

Almost surely, 2133098041904 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 133098041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178030319616).

133098041904 is an abundant number, since it is smaller than the sum of its proper divisors (222962597328).

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

133098041904 is a wasteful number, since it uses less digits than its factorization.

133098041904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11275 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 133098041904 in words is "one hundred thirty-three billion, ninety-eight million, forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 282 292 376 438 564 584 752 876 1128 1168 1752 2256 3431 3504 5329 6862 10293 10658 11071 13724 15987 20586 21316 22142 27448 31974 33213 41172 42632 44284 54896 63948 66426 82344 85264 88568 127896 132852 164688 177136 250463 255792 265704 500926 520337 531408 751389 808183 1001852 1040674 1502778 1561011 1616366 2003704 2081348 2424549 3005556 3122022 3232732 4007408 4162696 4849098 6011112 6244044 6465464 8325392 9698196 12022224 12488088 12930928 19396392 24976176 37984601 38792784 58997359 75969202 113953803 117994718 151938404 176992077 227907606 235989436 303876808 353984154 455815212 471978872 607753616 707968308 911630424 943957744 1415936616 1823260848 2772875873 2831873232 5545751746 8318627619 11091503492 16637255238 22183006984 33274510476 44366013968 66549020952 133098041904