Search a number
-
+
61414563384 = 233223101367189
BaseRepresentation
bin111001001100100101…
…111101111000111000
312212112002100001220200
4321030211331320320
52001234112012014
644114035122200
74302624114126
oct711445757070
9185462301820
1061414563384
1124055a13509
12ba9b743360
135a39837645
142d886b6916
1518e6a22a09
hexe4c97de38

61414563384 has 96 divisors (see below), whose sum is σ = 175281818400. Its totient is φ = 19387526400.

The previous prime is 61414563373. The next prime is 61414563401. The reversal of 61414563384 is 48336541416.

61414563384 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 4 + 5 + 633 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16339 + ... + 350850.

It is an arithmetic number, because the mean of its divisors is an integer number (1825852275).

Almost surely, 261414563384 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 61414563384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87640909200).

61414563384 is an abundant number, since it is smaller than the sum of its proper divisors (113867255016).

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

61414563384 is a wasteful number, since it uses less digits than its factorization.

61414563384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367325 (or 367318 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 61414563384 in words is "sixty-one billion, four hundred fourteen million, five hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 101 138 184 202 207 276 303 404 414 552 606 808 828 909 1212 1656 1818 2323 2424 3636 4646 6969 7272 9292 13938 18584 20907 27876 41814 55752 83628 167256 367189 734378 1101567 1468756 2203134 2937512 3304701 4406268 6609402 8445347 8812536 13218804 16890694 25336041 26437608 33781388 37086089 50672082 67562776 74172178 76008123 101344164 111258267 148344356 152016246 202688328 222516534 296688712 304032492 333774801 445033068 608064984 667549602 852980047 890066136 1335099204 1705960094 2558940141 2670198408 3411920188 5117880282 6823840376 7676820423 10235760564 15353640846 20471521128 30707281692 61414563384