Search a number
-
+
51234004665336 = 233231811579324757
BaseRepresentation
bin10111010011000110110001…
…01001100000001111111000
320201101220220212122100120210
423221203120221200033320
523203404220143242321
6300544324331551120
713535351253130143
oct1351433051401770
9221356825570523
1051234004665336
1115363245a69589
1258b55b05bb4a0
132278465c68b1c
14c91a4bd8705a
155dcaa9d1bb76
hex2e98d8a603f8

51234004665336 has 128 divisors (see below), whose sum is σ = 134477871091200. Its totient is φ = 16234890186240.

The previous prime is 51234004665329. The next prime is 51234004665419. The reversal of 51234004665336 is 63356640043215.

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, 157598670 + ... + 157923426.

It is an arithmetic number, because the mean of its divisors is an integer number (1050608367900).

Almost surely, 251234004665336 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 51234004665336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67238935545600).

51234004665336 is an abundant number, since it is smaller than the sum of its proper divisors (83243866425864).

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

51234004665336 is a wasteful number, since it uses less digits than its factorization.

51234004665336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326549 (or 326545 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 51234004665336 in words is "fifty-one trillion, two hundred thirty-four billion, four million, six hundred sixty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 276 362 543 552 724 1086 1448 1579 2172 3158 4163 4344 4737 6316 8326 9474 12489 12632 16652 18948 24978 33304 36317 37896 49956 72634 99912 108951 145268 217902 285799 290536 324757 435804 571598 649514 857397 871608 974271 1143196 1299028 1714794 1948542 2286392 2598056 3429588 3897084 6573377 6859176 7469411 7794168 13146754 14938822 19720131 22408233 26293508 29877644 39440262 44816466 52587016 58781017 59755288 78880524 89632932 117562034 157761048 176343051 179265864 235124068 352686102 470248136 512791303 705372204 1025582606 1351963391 1410744408 1538373909 2051165212 2703926782 3076747818 4055890173 4102330424 5407853564 6153495636 8111780346 10815707128 11794199969 12306991272 16223560692 23588399938 32447121384 35382599907 47176799876 70765199814 92815225843 94353599752 141530399628 185630451686 278445677529 283060799256 371260903372 556891355058 742521806744 1113782710116 2134750194389 2227565420232 4269500388778 6404250583167 8539000777556 12808501166334 17078001555112 25617002332668 51234004665336