Search a number
-
+
51881610752 = 291737712269
BaseRepresentation
bin110000010100011000…
…101000111000000000
311221220201101220022222
4300110120220320000
51322223143021002
635500054550212
73514450262246
oct602430507000
9157821356288
1051881610752
11200038a9064
12a07b068368
134b7a83537a
1427225ac796
151539b6e1a2
hexc14628e00

51881610752 has 160 divisors (see below), whose sum is σ = 114364198080. Its totient is φ = 23410114560.

The previous prime is 51881610751. The next prime is 51881610763. The reversal of 51881610752 is 25701618815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51881610751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22864274 + ... + 22866542.

It is an arithmetic number, because the mean of its divisors is an integer number (714776238).

Almost surely, 251881610752 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 51881610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57182099040).

51881610752 is an abundant number, since it is smaller than the sum of its proper divisors (62482587328).

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

51881610752 is a wasteful number, since it uses less digits than its factorization.

51881610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 44.

The spelling of 51881610752 in words is "fifty-one billion, eight hundred eighty-one million, six hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 71 74 128 136 142 148 256 272 284 296 512 544 568 592 629 1088 1136 1184 1207 1258 2176 2269 2272 2368 2414 2516 2627 4352 4538 4544 4736 4828 5032 5254 8704 9076 9088 9472 9656 10064 10508 18152 18176 18944 19312 20128 21016 36304 36352 38573 38624 40256 42032 44659 72608 77146 77248 80512 83953 84064 89318 145216 154292 154496 161024 161099 167906 168128 178636 290432 308584 308992 322048 322198 335812 336256 357272 580864 617168 617984 644396 671624 672512 714544 1161728 1234336 1288792 1343248 1345024 1427201 1429088 2468672 2577584 2686496 2738683 2854402 2858176 4937344 5155168 5372992 5477366 5708804 5716352 5960663 9874688 10310336 10745984 10954732 11417608 11432704 11921326 19749376 20620672 21491968 21909464 22835216 22865408 23842652 41241344 42983936 43818928 45670432 47685304 82482688 87637856 91340864 95370608 101331271 175275712 182681728 190741216 202662542 350551424 365363456 381482432 405325084 701102848 730726912 762964864 810650168 1402205696 1525929728 1621300336 3051859456 3242600672 6485201344 12970402688 25940805376 51881610752