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133080018918 = 237111942136011
BaseRepresentation
bin111101111110000101…
…1111110111111100110
3110201111120112102021120
41323330023332333212
54140021441101133
6141045222354410
712420563332230
oct1737413767746
9421446472246
10133080018918
1151491223a10
122196028ba06
13c71b024c32
146626581250
1536dd461ab3
hex1efc2fefe6

133080018918 has 128 divisors (see below), whose sum is σ = 350140354560. Its totient is φ = 32668272000.

The previous prime is 133080018887. The next prime is 133080018931. The reversal of 133080018918 is 819810080331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 133080018918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3677533 + ... + 3713543.

It is an arithmetic number, because the mean of its divisors is an integer number (2735471520).

Almost surely, 2133080018918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133080018918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175070177280).

133080018918 is an abundant number, since it is smaller than the sum of its proper divisors (217060335642).

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

133080018918 is a wasteful number, since it uses less digits than its factorization.

133080018918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36474.

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 133080018918 in words is "one hundred thirty-three billion, eighty million, eighteen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 421 462 627 798 842 1254 1263 1463 2526 2926 2947 4389 4631 5894 7999 8778 8841 9262 13893 15998 17682 23997 27786 32417 36011 47994 55993 64834 72022 87989 97251 108033 111986 167979 175978 194502 216066 252077 263967 335958 396121 504154 527934 615923 684209 756231 792242 1188363 1231846 1368418 1512462 1847769 2052627 2376726 2772847 3695538 4105254 4789463 5545694 7526299 8318541 9578926 14368389 15052598 15160631 16637082 22578897 28736778 30321262 45157794 45481893 52684093 90963786 105368186 106124417 158052279 166766941 212248834 288051989 316104558 318373251 333533882 500300823 576103978 636746502 864155967 1000601646 1167368587 1728311934 2016363923 2334737174 3168571879 3502105761 4032727846 6049091769 6337143758 7004211522 9505715637 12098183538 19011431274 22180003153 44360006306 66540009459 133080018918