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261373121607030 = 23571899714214107
BaseRepresentation
bin111011011011011110101100…
…000100010011010101110110
31021021110000201020120112110120
4323123132230010103111312
5233224314123112411110
62323521053205232410
7106024404416453466
oct7333365404232566
91237400636515416
10261373121607030
117631079a189234
1225393a41702706
13b2ac4c2000ba4
144878752d3bba6
152033dac23d870
hexedb7ac113576

261373121607030 has 128 divisors (see below), whose sum is σ = 649909954391040. Its totient is φ = 67245229793280.

The previous prime is 261373121606999. The next prime is 261373121607041. The reversal of 261373121607030 is 30706121373162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11281237 + ... + 25495343.

It is an arithmetic number, because the mean of its divisors is an integer number (5077421518680).

Almost surely, 2261373121607030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261373121607030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324954977195520).

261373121607030 is an abundant number, since it is smaller than the sum of its proper divisors (388536832784010).

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

261373121607030 is a wasteful number, since it uses less digits than its factorization.

261373121607030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214374.

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 261373121607030 in words is "two hundred sixty-one trillion, three hundred seventy-three billion, one hundred twenty-one million, six hundred seven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 71 89 97 142 178 194 213 267 291 355 426 445 485 534 582 710 890 970 1065 1335 1455 2130 2670 2910 6319 6887 8633 12638 13774 17266 18957 20661 25899 31595 34435 37914 41322 43165 51798 63190 68870 86330 94785 103305 129495 189570 206610 258990 612943 1225886 1838829 3064715 3677658 6129430 9194145 14214107 18388290 28428214 42642321 71070535 85284642 142141070 213211605 426423210 1009201597 1265055523 1378768379 2018403194 2530111046 2757536758 3027604791 3795166569 4136305137 5046007985 6055209582 6325277615 6893841895 7590333138 8272610274 10092015970 12650555230 13787683790 15138023955 18975832845 20681525685 30276047910 37951665690 41363051370 89818942133 97892554909 122710385731 179637884266 195785109818 245420771462 269456826399 293677664727 368131157193 449094710665 489462774545 538913652798 587355329454 613551928655 736262314386 898189421330 978925549090 1227103857310 1347284131995 1468388323635 1840655785965 2694568263990 2936776647270 3681311571930 8712437386901 17424874773802 26137312160703 43562186934505 52274624321406 87124373869010 130686560803515 261373121607030