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61684336164 = 223114138329759
BaseRepresentation
bin111001011100101011…
…000100011000100100
312220012212221221121010
4321130223010120210
52002312142224124
644200513222220
74312411130523
oct713453043044
9186185857533
1061684336164
1124184221820
12bb55b61970
135a806b0bc9
142db245c4ba
151910560529
hexe5cac4624

61684336164 has 96 divisors (see below), whose sum is σ = 161269678080. Its totient is φ = 18188089600.

The previous prime is 61684336139. The next prime is 61684336229. The reversal of 61684336164 is 46163348616.

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, 2057917 + ... + 2087675.

It is an arithmetic number, because the mean of its divisors is an integer number (1679892480).

Almost surely, 261684336164 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 61684336164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80634839040).

61684336164 is an abundant number, since it is smaller than the sum of its proper divisors (99585341916).

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

61684336164 is a wasteful number, since it uses less digits than its factorization.

61684336164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30201 (or 30199 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 61684336164 in words is "sixty-one billion, six hundred eighty-four million, three hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 383 451 492 766 902 1149 1353 1532 1804 2298 2706 4213 4596 5412 8426 12639 15703 16852 25278 29759 31406 47109 50556 59518 62812 89277 94218 119036 172733 178554 188436 327349 345466 357108 518199 654698 690932 982047 1036398 1220119 1309396 1964094 2072796 2440238 3660357 3928188 4880476 7320714 11397697 13421309 14641428 22795394 26842618 34193091 40263927 45590788 53685236 68386182 80527854 125374667 136772364 161055708 250749334 376124001 467305577 501498668 752248002 934611154 1401916731 1504496004 1869222308 2803833462 5140361347 5607666924 10280722694 15421084041 20561445388 30842168082 61684336164