Search a number
-
+
7893133133312 = 29719431268937
BaseRepresentation
bin111001011011100001101…
…1001011000011000000000
31000221120120000112002101202
41302313003121120120000
52013310114040231222
624442015540120332
71443155124432230
oct162670331303000
930846500462352
107893133133312
1125735059755a9
12a758aa3960a8
1345341c5534bb
141d405b639cc0
15da4b9e5d892
hex72dc3658600

7893133133312 has 160 divisors (see below), whose sum is σ = 19016541434880. Its totient is φ = 3197283287040.

The previous prime is 7893133133299. The next prime is 7893133133341. The reversal of 7893133133312 is 2133313313987.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29214908 + ... + 29483844.

It is an arithmetic number, because the mean of its divisors is an integer number (118853383968).

Almost surely, 27893133133312 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 7893133133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508270717440).

7893133133312 is an abundant number, since it is smaller than the sum of its proper divisors (11123408301568).

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

7893133133312 is a wasteful number, since it uses less digits than its factorization.

7893133133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269412 (or 269396 counting only the distinct ones).

The product of its digits is 734832, while the sum is 47.

The spelling of 7893133133312 in words is "seven trillion, eight hundred ninety-three billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 431 448 512 532 608 862 896 1064 1216 1724 1792 2128 2432 3017 3448 3584 4256 4864 6034 6896 8189 8512 9728 12068 13792 16378 17024 24136 27584 32756 34048 48272 55168 57323 65512 68096 96544 110336 114646 131024 193088 220672 229292 262048 268937 386176 458584 524096 537874 772352 917168 1048192 1075748 1544704 1834336 1882559 2096384 2151496 3668672 3765118 4192768 4302992 5109803 7337344 7530236 8605984 10219606 14674688 15060472 17211968 20439212 29349376 30120944 34423936 35768621 40878424 60241888 68847872 71537242 81756848 115911847 120483776 137695744 143074484 163513696 231823694 240967552 286148968 327027392 463647388 481935104 572297936 654054784 811382929 927294776 963870208 1144595872 1308109568 1622765858 1854589552 2202325093 2289191744 2616219136 3245531716 3709179104 4404650186 4578383488 6491063432 7418358208 8809300372 9156766976 12982126864 14836716416 15416275651 17618600744 18313533952 25964253728 29673432832 30832551302 35237201488 51928507456 59346865664 61665102604 70474402976 103857014912 123330205208 140948805952 207714029824 246660410416 281897611904 415428059648 493320820832 563795223808 986641641664 1127590447616 1973283283328 3946566566656 7893133133312