Search a number
-
+
412092884080 = 24515733719733
BaseRepresentation
bin1011111111100101010…
…01100110010001110000
31110101200110110112100101
411333302221212101300
523222431234242310
6513151324402144
741526021501553
oct5776251462160
91411613415311
10412092884080
11149849765179
1267a490a6354
132cb24ac4757
1415d3427c69a
15aabd3b543a
hex5ff2a66470

412092884080 has 80 divisors (see below), whose sum is σ = 964603734624. Its totient is φ = 163721825280.

The previous prime is 412092884053. The next prime is 412092884101. The reversal of 412092884080 is 80488290214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 412092884080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42334894 + ... + 42344626.

Almost surely, 2412092884080 is an apocalyptic number.

412092884080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412092884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482301867312).

412092884080 is an abundant number, since it is smaller than the sum of its proper divisors (552510850544).

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

412092884080 is a wasteful number, since it uses less digits than its factorization.

412092884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 412092884080 in words is "four hundred twelve billion, ninety-two million, eight hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 3371 6280 6742 9733 12560 13484 16855 19466 26968 33710 38932 48665 53936 67420 77864 97330 134840 155728 194660 269680 389320 529247 778640 1058494 1528081 2116988 2646235 3056162 4233976 5292470 6112324 7640405 8467952 10584940 12224648 15280810 21169880 24449296 30561620 32809943 42339760 61123240 65619886 122246480 131239772 164049715 262479544 328099430 524959088 656198860 1312397720 2624795440 5151161051 10302322102 20604644204 25755805255 41209288408 51511610510 82418576816 103023221020 206046442040 412092884080