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61260705081 = 368921032
BaseRepresentation
bin111001000011011011…
…000010110100111001
312212010100211021000000
4321003123002310321
52000430220030311
644050501303213
74266045254502
oct710333026471
9185110737000
1061260705081
1123a87086494
12ba58104b09
135a139b7524
142d720a5ba9
1518d8280056
hexe436c2d39

61260705081 has 63 divisors (see below), whose sum is σ = 93803274399. Its totient is φ = 39989534112.

The previous prime is 61260705067. The next prime is 61260705109. The reversal of 61260705081 is 18050706216.

The square root of 61260705081 is 247509.

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

61260705081 is a `hidden beast` number, since 61 + 26 + 0 + 70 + 508 + 1 = 666.

61260705081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11763354681 + 49497350400 = 108459^2 + 222480^2 .

It is not a de Polignac number, because 61260705081 - 221 = 61258607929 is a prime.

It is a super-2 number, since 2×612607050812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61260705581) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 594764076 + ... + 594764178.

Almost surely, 261260705081 is an apocalyptic number.

61260705081 is the 247509-th square number.

61260705081 is the 123755-th centered octagonal number.

It is an amenable number.

61260705081 is a deficient number, since it is larger than the sum of its proper divisors (32542569318).

61260705081 is an frugal number, since it uses more digits than its factorization.

61260705081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 61260705081 by its sum of digits (36), we get a square (2205385382916 = 14850542).

The spelling of 61260705081 in words is "sixty-one billion, two hundred sixty million, seven hundred five thousand, eighty-one".

Divisors: 1 3 9 27 81 89 103 243 267 309 729 801 927 2403 2781 7209 7921 8343 9167 10609 21627 23763 25029 27501 31827 64881 71289 75087 82503 95481 213867 247509 286443 641601 742527 815863 859329 944201 1924803 2227581 2447589 2577987 2832603 5774409 6682743 7342767 7733961 8497809 22028301 25493427 66084903 76480281 84033889 198254709 229440843 252101667 594764127 688322529 756305001 2268915003 6806745009 20420235027 61260705081