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61441519876 = 221121925932
BaseRepresentation
bin111001001110001100…
…110011000100000100
312212120222001121021021
4321032030303010010
52001313012114001
644120441000524
74303402205362
oct711614630404
9185528047237
1061441519876
112406a155300
12baa8783144
135a422b5229
142d8c0d2632
1518e9099ba1
hexe4e333104

61441519876 has 81 divisors (see below), whose sum is σ = 124944466773. Its totient is φ = 26413453440.

The previous prime is 61441519859. The next prime is 61441519877. The reversal of 61441519876 is 67891514416.

It is a happy number.

The square root of 61441519876 is 247874.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37779696900 + 23661822976 = 194370^2 + 153824^2 .

It is not an unprimeable number, because it can be changed into a prime (61441519877) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103611036 + ... + 103611628.

Almost surely, 261441519876 is an apocalyptic number.

61441519876 is the 247874-th square number.

It is an amenable number.

61441519876 is an abundant number, since it is smaller than the sum of its proper divisors (63502946897).

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

61441519876 is a wasteful number, since it uses less digits than its factorization.

61441519876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 625 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 61441519876 in words is "sixty-one billion, four hundred forty-one million, five hundred nineteen thousand, eight hundred seventy-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 593 722 836 1186 1444 2299 2372 3971 4598 6523 7942 9196 11267 13046 15884 22534 26092 43681 45068 71753 87362 123937 143506 174724 214073 247874 287012 351649 428146 495748 703298 856292 1363307 1406596 2354803 2726614 3868139 4709606 5453228 6681331 7736278 9419212 13362662 15472556 25902833 26725324 42549529 51805666 73494641 85099058 103611332 126945289 146989282 170198116 253890578 293978564 507781156 808441051 1396398179 1616882102 2792796358 3233764204 5585592716 15360379969 30720759938 61441519876