Search a number
-
+
730042971108 = 22311103388913807
BaseRepresentation
bin10101001111110011111…
…00111011001111100100
32120210100221122110101120
422213321330323033210
543430112000033413
61315213242253540
7103513100603403
oct12477174731744
92523327573346
10730042971108
11261678252540
12b95a1ab72b0
1353ac56c9019
142749733763a
1513ecb86d723
hexa9f9f3b3e4

730042971108 has 96 divisors (see below), whose sum is σ = 1876951265280. Its totient is φ = 219005130240.

The previous prime is 730042971103. The next prime is 730042971173. The reversal of 730042971108 is 801179240037.

It is a super-2 number, since 2×7300429711082 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 730042971108.

It is not an unprimeable number, because it can be changed into a prime (730042971103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52867941 + ... + 52881747.

It is an arithmetic number, because the mean of its divisors is an integer number (19551575680).

Almost surely, 2730042971108 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 730042971108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938475632640).

730042971108 is an abundant number, since it is smaller than the sum of its proper divisors (1146908294172).

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

730042971108 is a wasteful number, since it uses less digits than its factorization.

730042971108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17817 (or 17815 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 730042971108 in words is "seven hundred thirty billion, forty-two million, nine hundred seventy-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 3889 4532 6798 7778 11667 13596 13807 15556 23334 27614 41421 42779 46668 55228 82842 85558 128337 151877 165684 171116 256674 303754 400567 455631 513348 607508 801134 911262 1201701 1422121 1602268 1822524 2403402 2844242 4266363 4406237 4806804 5688484 8532726 8812474 13218711 15643331 17065452 17624948 26437422 31286662 46929993 52874844 53695423 62573324 93859986 107390846 161086269 187719972 214781692 322172538 590649653 644345076 1181299306 1771948959 2362598612 3543897918 5530628569 7087795836 11061257138 16591885707 22122514276 33183771414 60836914259 66367542828 121673828518 182510742777 243347657036 365021485554 730042971108