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61000431425 = 5220509118973
BaseRepresentation
bin111000110011111010…
…001011011101000001
312211110020001222122222
4320303322023131001
51444412102301200
644005002540425
74256435053253
oct706372133501
9184406058588
1061000431425
1123963175a9a
12b9a4b07715
1359a1ab884b
142d496b3cd3
1518c04bbd85
hexe33e8b741

61000431425 has 12 divisors (see below), whose sum is σ = 75644858940. Its totient is φ = 48797555520.

The previous prime is 61000431391. The next prime is 61000431463. The reversal of 61000431425 is 52413400016.

It can be written as a sum of positive squares in 6 ways, for example, as 12194343184 + 48806088241 = 110428^2 + 220921^2 .

It is a de Polignac number, because none of the positive numbers 2k-61000431425 is a prime.

It is a super-3 number, since 3×610004314253 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 61000431394 and 61000431403.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 453239 + ... + 572211.

It is an arithmetic number, because the mean of its divisors is an integer number (6303738245).

Almost surely, 261000431425 is an apocalyptic number.

It is an amenable number.

61000431425 is a deficient number, since it is larger than the sum of its proper divisors (14644427515).

61000431425 is a wasteful number, since it uses less digits than its factorization.

61000431425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139492 (or 139487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 61000431425 in words is "sixty-one billion, four hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 5 25 20509 102545 118973 512725 594865 2974325 2440017257 12200086285 61000431425