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61361000244 = 2232371072631637
BaseRepresentation
bin111001001001011001…
…101000111100110100
312212101100112210002200
4321021121220330310
52001131404001434
644104443104500
74301403616305
oct711131507464
9185340483080
1061361000244
1124028759755
12ba85812130
135a2b70248b
142d815327ac
1518e1e92199
hexe49668f34

61361000244 has 144 divisors (see below), whose sum is σ = 161497784448. Its totient is φ = 19627916544.

The previous prime is 61361000203. The next prime is 61361000291. The reversal of 61361000244 is 44200016316.

61361000244 is a `hidden beast` number, since 6 + 1 + 3 + 610 + 0 + 0 + 2 + 44 = 666.

61361000244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37482994 + ... + 37484630.

It is an arithmetic number, because the mean of its divisors is an integer number (1121512392).

Almost surely, 261361000244 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 61361000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80748892224).

61361000244 is an abundant number, since it is smaller than the sum of its proper divisors (100136784204).

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

61361000244 is a wasteful number, since it uses less digits than its factorization.

61361000244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61361000244 in words is "sixty-one billion, three hundred sixty-one million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 107 111 148 214 222 263 321 333 428 444 526 642 666 789 963 1052 1284 1332 1578 1637 1926 2367 3156 3274 3852 3959 4734 4911 6548 7918 9468 9731 9822 11877 14733 15836 19462 19644 23754 28141 29193 29466 35631 38924 47508 56282 58386 58932 60569 71262 84423 87579 112564 116772 121138 142524 168846 175158 175159 181707 242276 253269 337692 350316 350318 363414 430531 506538 525477 545121 700636 726828 861062 1013076 1041217 1050954 1090242 1291593 1576431 1722124 2082434 2101908 2180484 2583186 3123651 3152862 3874779 4164868 5166372 6247302 6305724 6480883 7749558 9370953 12494604 12961766 15499116 15929647 18741906 19442649 25923532 31859294 37483812 38885298 46066817 47788941 58327947 63718588 77770596 92133634 95577882 116655894 138200451 143366823 184267268 191155764 233311788 276400902 286733646 414601353 552801804 573467292 829202706 1658405412 1704472229 3408944458 5113416687 6817888916 10226833374 15340250061 20453666748 30680500122 61361000244