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51341370288 = 24313615232579
BaseRepresentation
bin101111110100001011…
…110010001110110000
311220112001211211201220
4233310023302032300
51320121342322123
635330315425040
73465200306205
oct576413621660
9156461754656
1051341370288
111a85695743a
129b4a155180
134ac2931160
1426b093dcac
151507507ce3
hexbf42f23b0

51341370288 has 160 divisors (see below), whose sum is σ = 145509853440. Its totient is φ = 15502648320.

The previous prime is 51341370287. The next prime is 51341370313. The reversal of 51341370288 is 88207314315.

It is not an unprimeable number, because it can be changed into a prime (51341370287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19906183 + ... + 19908761.

It is an arithmetic number, because the mean of its divisors is an integer number (909436584).

Almost surely, 251341370288 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 51341370288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72754926720).

51341370288 is an abundant number, since it is smaller than the sum of its proper divisors (94168483152).

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

51341370288 is a wasteful number, since it uses less digits than its factorization.

51341370288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 51341370288 in words is "fifty-one billion, three hundred forty-one million, three hundred seventy thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 523 624 732 793 976 1046 1464 1569 1586 2092 2379 2579 2928 3138 3172 4184 4758 5158 6276 6344 6799 7737 8368 9516 10316 12552 12688 13598 15474 19032 20397 20632 25104 27196 30948 31903 33527 38064 40794 41264 54392 61896 63806 67054 81588 95709 100581 108784 123792 127612 134108 157319 163176 191418 201162 255224 268216 314638 326352 382836 402324 414739 471957 510448 536432 629276 765672 804648 829478 943914 1244217 1258552 1348817 1531344 1609296 1658956 1887828 2045147 2488434 2517104 2697634 3317912 3775656 4046451 4090294 4976868 5395268 6135441 6635824 7551312 8092902 8180588 9953736 10790536 12270882 16185804 16361176 17534621 19907472 21581072 24541764 32371608 32722352 35069242 49083528 52603863 64743216 70138484 82277837 98167056 105207726 140276968 164555674 210415452 246833511 280553936 329111348 420830904 493667022 658222696 841661808 987334044 1069611881 1316445392 1974668088 2139223762 3208835643 3949336176 4278447524 6417671286 8556895048 12835342572 17113790096 25670685144 51341370288