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51616561615152 = 2434759616357233
BaseRepresentation
bin10111011110001111010101…
…10100011101000100110000
320202202111100221000222001220
423233013222310131010300
523231141204233141102
6301440153203025040
713605113341424352
oct1357075264350460
9222674327028056
1051616561615152
11154a0508433126
12595777606b180
1322a556187b4a1
14ca637d69b0d2
155e79ea1c41bc
hex2ef1ead1d130

51616561615152 has 160 divisors (see below), whose sum is σ = 140758315176960. Its totient is φ = 16282651176960.

The previous prime is 51616561615147. The next prime is 51616561615169. The reversal of 51616561615152 is 25151616561615.

It is a junction number, because it is equal to n+sod(n) for n = 51616561615095 and 51616561615104.

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, 4940728 + ... + 11297960.

It is an arithmetic number, because the mean of its divisors is an integer number (879739469856).

Almost surely, 251616561615152 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 51616561615152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70379157588480).

51616561615152 is an abundant number, since it is smaller than the sum of its proper divisors (89141753561808).

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

51616561615152 is a wasteful number, since it uses less digits than its factorization.

51616561615152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357411 (or 6357405 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 51.

The spelling of 51616561615152 in words is "fifty-one trillion, six hundred sixteen billion, five hundred sixty-one million, six hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 61 94 118 122 141 177 183 188 236 244 282 354 366 376 472 488 564 708 732 752 944 976 1128 1416 1464 2256 2773 2832 2867 2928 3599 5546 5734 7198 8319 8601 10797 11092 11468 14396 16638 17202 21594 22184 22936 28792 33276 34404 43188 44368 45872 57584 66552 68808 86376 133104 137616 169153 172752 338306 507459 676612 1014918 1353224 2029836 2706448 4059672 6357233 8119344 12714466 19071699 25428932 38143398 50857864 76286796 101715728 152573592 298789951 305147184 375076747 387791213 597579902 750153494 775582426 896369853 1125230241 1163373639 1195159804 1500306988 1551164852 1792739706 2250460482 2326747278 2390319608 3000613976 3102329704 3585479412 4500920964 4653494556 4780639216 6001227952 6204659408 7170958824 9001841928 9306989112 14341917648 17628607109 18003683856 18226187011 18613978224 22879681567 35257214218 36452374022 45759363134 52885821327 54678561033 68639044701 70514428436 72904748044 91518726268 105771642654 109357122066 137278089402 141028856872 145809496088 183037452536 211543285308 218714244132 274556178804 282057713744 291618992176 366074905072 423086570616 437428488264 549112357608 846173141232 874856976528 1075345033649 1098224715216 2150690067298 3226035100947 4301380134596 6452070201894 8602760269192 12904140403788 17205520538384 25808280807576 51616561615152