Search a number
-
+
536378002116 = 22311191499142673
BaseRepresentation
bin1111100111000101001…
…11101100101011000100
31220021111002211200201020
413303202213230223010
532242000232031431
61050224134031140
753515642535505
oct7634247545304
91807432750636
10536378002116
11197527442960
1287b53aa84b0
133b7709ba608
141bd64756bac
15de44660696
hex7ce29ecac4

536378002116 has 96 divisors (see below), whose sum is σ = 1438153920000. Its totient is φ = 153880312320.

The previous prime is 536378002109. The next prime is 536378002117. The reversal of 536378002116 is 611200873635.

It is a super-2 number, since 2×5363780021162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (536378002117) 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, 3688156 + ... + 3830828.

It is an arithmetic number, because the mean of its divisors is an integer number (14980770000).

Almost surely, 2536378002116 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 536378002116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719076960000).

536378002116 is an abundant number, since it is smaller than the sum of its proper divisors (901775917884).

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

536378002116 is a wasteful number, since it uses less digits than its factorization.

536378002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144209 (or 144207 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 536378002116 in words is "five hundred thirty-six billion, three hundred seventy-eight million, two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1499 2508 2998 4497 5996 8994 16489 17988 28481 32978 49467 56962 65956 85443 98934 113924 142673 170886 197868 285346 313291 341772 428019 570692 626582 856038 939873 1253164 1569403 1712076 1879746 2710787 3138806 3759492 4708209 5421574 6277612 8132361 9416418 10843148 16264722 18832836 29818657 32529444 59637314 89455971 119274628 178911942 213866827 357823884 427733654 641600481 855467308 1283200962 2352535097 2566401924 4063469713 4705070194 7057605291 8126939426 9410140388 12190409139 14115210582 16253878852 24380818278 28230421164 44698166843 48761636556 89396333686 134094500529 178792667372 268189001058 536378002116