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133435050635516 = 227229241595316363
BaseRepresentation
bin11110010101101111000100…
…110010110011000011111100
3122111110021012002210201000112
4132111233010302303003330
5114442144440430314031
61151443114354245152
740051235642305400
oct3625570462630374
9574407162721015
10133435050635516
113957553a491573
1212b707345867b8
13595bb43295826
1424d4410385100
151065e4291962b
hex795bc4cb30fc

133435050635516 has 144 divisors (see below), whose sum is σ = 282233016505440. Its totient is φ = 54972801515520.

The previous prime is 133435050635507. The next prime is 133435050635527. The reversal of 133435050635516 is 615536050534331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8154673151 + ... + 8154689513.

It is an arithmetic number, because the mean of its divisors is an integer number (1959951503510).

Almost surely, 2133435050635516 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 133435050635516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141116508252720).

133435050635516 is an abundant number, since it is smaller than the sum of its proper divisors (148797965869924).

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

133435050635516 is a wasteful number, since it uses less digits than its factorization.

133435050635516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22604 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 50.

The spelling of 133435050635516 in words is "one hundred thirty-three trillion, four hundred thirty-five billion, fifty million, six hundred thirty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 241 406 482 812 964 1421 1687 2842 3374 5684 5953 6748 6989 11809 11906 13978 16363 23618 23812 27956 32726 41671 47236 48923 65452 83342 97846 114541 166684 172637 195692 229082 291697 342461 345274 458164 474527 583394 684922 690548 801787 949054 1166788 1208459 1369844 1434673 1603574 1898108 2416918 2869346 3207148 3321689 3943483 4833836 5738692 6643378 7886966 8459213 10042711 13286756 15773932 16918426 20085422 23251823 27604381 33836852 40170844 41605517 46503646 55208762 70298977 83211034 93007292 97408939 110417524 114361007 140597954 166422068 193230667 194817878 228722014 281195908 291238619 386461334 389635756 457444028 582477238 681862573 772922668 800527049 1164954476 1363725146 1601054098 2038670333 2727450292 2824859231 3202108196 4077340666 4773038011 5603689343 5649718462 8154681332 9546076022 11207378686 11299436924 19092152044 19774014617 22414757372 23475554299 39548029234 46951108598 79096058468 93902217196 138418102319 164328880093 276836204638 328657760186 553672409276 657315520372 680791074671 1150302160651 1361582149342 2300604321302 2723164298684 4601208642604 4765537522697 9531075045394 19062150090788 33358762658879 66717525317758 133435050635516