Search a number
-
+
5416711194408 = 233595876619859
BaseRepresentation
bin100111011010010110100…
…1001011000011100101000
3201011211110220202010112020
41032310231021120130220
51202221411031210113
615304222555344440
71066226103320433
oct116645511303450
921154426663466
105416711194408
1117a923a28a628
12735965752120
13303a41917307
1414a25512a81a
1595d7b295023
hex4ed2d258728

5416711194408 has 128 divisors (see below), whose sum is σ = 13817030976000. Its totient is φ = 1769083557120.

The previous prime is 5416711194341. The next prime is 5416711194409. The reversal of 5416711194408 is 8044911176145.

It is not an unprimeable number, because it can be changed into a prime (5416711194409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549412983 + ... + 549422841.

It is an arithmetic number, because the mean of its divisors is an integer number (107945554500).

Almost surely, 25416711194408 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 5416711194408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908515488000).

5416711194408 is an abundant number, since it is smaller than the sum of its proper divisors (8400319781592).

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

5416711194408 is a wasteful number, since it uses less digits than its factorization.

5416711194408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 5416711194408 in words is "five trillion, four hundred sixteen billion, seven hundred eleven million, one hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 587 661 708 1174 1322 1416 1761 1983 2348 2644 3522 3966 4696 5288 7044 7932 9859 14088 15864 19718 29577 34633 38999 39436 59154 69266 77998 78872 103899 116997 118308 138532 155996 207798 233994 236616 277064 311992 388007 415596 467988 581681 776014 831192 935976 1163362 1164021 1552028 1745043 2326724 2328042 3104056 3490086 4653448 4656084 5787233 6516799 6980172 9312168 11574466 13033598 13960344 17361699 19550397 22892413 23148932 26067196 34723398 39100794 45784826 46297864 52134392 68677239 69446796 78201588 91569652 137354478 138893592 156403176 183139304 274708956 341446747 384491141 549417912 682893494 768982282 1024340241 1153473423 1365786988 1537964564 2048680482 2306946846 2731573976 3075929128 3825361013 4097360964 4613893692 7650722026 8194721928 9227787384 11476083039 15301444052 22952166078 30602888104 45904332156 91808664312 225696299767 451392599534 677088899301 902785199068 1354177798602 1805570398136 2708355597204 5416711194408