Search a number
-
+
84102728704 = 210839071091
BaseRepresentation
bin100111001010011101…
…0011100110000000000
322001002021010021201221
41032110322130300000
52334220244304304
6102345233204424
76035100253531
oct1162472346000
9261067107657
1084102728704
1132738885965
1214371a00714
137c14114037
1440db9d0688
1522c3787054
hex1394e9cc00

84102728704 has 88 divisors (see below), whose sum is σ = 170492632128. Its totient is φ = 41460879360.

The previous prime is 84102728701. The next prime is 84102728711. The reversal of 84102728704 is 40782720148.

It is not an unprimeable number, because it can be changed into a prime (84102728701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77087199 + ... + 77088289.

Almost surely, 284102728704 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 84102728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85246316064).

84102728704 is an abundant number, since it is smaller than the sum of its proper divisors (86389903424).

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

84102728704 is a wasteful number, since it uses less digits than its factorization.

84102728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 43.

The spelling of 84102728704 in words is "eighty-four billion, one hundred two million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 907 1024 1091 1328 1814 2182 2656 3628 4364 5312 7256 8728 10624 14512 17456 21248 29024 34912 42496 58048 69824 75281 84992 90553 116096 139648 150562 181106 232192 279296 301124 362212 464384 558592 602248 724424 928768 989537 1117184 1204496 1448848 1979074 2408992 2897696 3958148 4817984 5795392 7916296 9635968 11590784 15832592 19271936 23181568 31665184 38543872 46363136 63330368 77087744 82131571 92726272 126660736 164263142 253321472 328526284 506642944 657052568 1013285888 1314105136 2628210272 5256420544 10512841088 21025682176 42051364352 84102728704