Search a number
-
+
1000871039736 = 233319392962071
BaseRepresentation
bin11101001000010001001…
…00000001001011111000
310112200102102102211101000
432210020210001023320
5112344240441232421
62043443243525000
7132211342316331
oct16441044011370
93480372384330
101000871039736
11356515677a47
12141b85829760
13734c6892579
1436629dc5288
151b07ce72226
hexe9089012f8

1000871039736 has 128 divisors (see below), whose sum is σ = 2927315520000. Its totient is φ = 315979004160.

The previous prime is 1000871039723. The next prime is 1000871039747. The reversal of 1000871039736 is 6379301780001.

It is a junction number, because it is equal to n+sod(n) for n = 1000871039691 and 1000871039700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16093581 + ... + 16155651.

It is an arithmetic number, because the mean of its divisors is an integer number (22869652500).

Almost surely, 21000871039736 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 1000871039736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463657760000).

1000871039736 is an abundant number, since it is smaller than the sum of its proper divisors (1926444480264).

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

1000871039736 is a wasteful number, since it uses less digits than its factorization.

1000871039736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66034 (or 66024 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1000871039736 in words is "one trillion, eight hundred seventy-one million, thirty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3929 4104 7858 11787 15716 23574 31432 35361 47148 62071 70722 74651 94296 106083 124142 141444 149302 186213 212166 223953 248284 282888 298604 372426 424332 447906 496568 558639 597208 671859 744852 848664 895812 1117278 1179349 1343718 1489704 1675917 1791624 2015577 2234556 2358698 2687436 3351834 3538047 4031154 4469112 4717396 5374872 6703668 7076094 8062308 9434792 10614141 13407336 14152188 16124616 21228282 28304376 31842423 42456564 63684846 84913128 127369692 243876959 254739384 487753918 731630877 975507836 1463261754 1951015672 2194892631 2926523508 4389785262 4633662221 5853047016 6584677893 8779570524 9267324442 13169355786 13900986663 17559141048 18534648884 26338711572 27801973326 37069297768 41702959989 52677423144 55603946652 83405919978 111207893304 125108879967 166811839956 250217759934 333623679912 500435519868 1000871039736