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61055055162 = 232371733131693
BaseRepresentation
bin111000110111001010…
…100011010100111010
312211121000212011100100
4320313022203110322
52000020043231122
644014233420230
74261000256163
oct706712432472
9184530764310
1061055055162
1123990a94682
12b9bb26a676
1359b020269a
142d52a5276a
1518c51abaac
hexe372a353a

61055055162 has 96 divisors (see below), whose sum is σ = 137164115088. Its totient is φ = 19612689408.

The previous prime is 61055055097. The next prime is 61055055163. The reversal of 61055055162 is 26155055016.

It can be written as a sum of positive squares in 8 ways, for example, as 33866672841 + 27188382321 = 184029^2 + 164889^2 .

It is not an unprimeable number, because it can be changed into a prime (61055055163) 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 47 ways as a sum of consecutive naturals, for example, 36062388 + ... + 36064080.

Almost surely, 261055055162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61055055162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68582057544).

61055055162 is an abundant number, since it is smaller than the sum of its proper divisors (76109059926).

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

61055055162 is a wasteful number, since it uses less digits than its factorization.

61055055162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 61055055162 in words is "sixty-one billion, fifty-five million, fifty-five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 37 74 111 173 222 313 333 346 519 626 666 939 1038 1557 1693 1878 2817 3114 3386 5079 5634 6401 10158 11581 12802 15237 19203 23162 30474 34743 38406 54149 57609 62641 69486 104229 108298 115218 125282 162447 187923 208458 292889 324894 375846 487341 529909 563769 585778 878667 974682 1059818 1127538 1589727 1757334 2003513 2636001 3179454 4007026 4769181 5272002 6010539 9538362 10836893 12021078 18031617 19606633 21673786 32510679 36063234 39213266 58819899 65021358 91674257 97532037 117639798 176459697 183348514 195064074 275022771 352919394 550045542 825068313 1650136626 3391947509 6783895018 10175842527 20351685054 30527527581 61055055162