Search a number
-
+
368938143260 = 225294346132089
BaseRepresentation
bin1010101111001100110…
…11010100111000011100
31022021021221012120000022
411113212123110320130
522021041131041020
6441253212451312
735440426321631
oct5274633247034
91267257176008
10368938143260
11132513a66715
125b604779b38
1328a3828bc5b
1413bdcb08188
1598e4970625
hex55e66d4e1c

368938143260 has 96 divisors (see below), whose sum is σ = 821930155200. Its totient is φ = 138866595840.

The previous prime is 368938143239. The next prime is 368938143307. The reversal of 368938143260 is 62341839863.

It is a happy number.

It is a super-2 number, since 2×3689381432602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11481296 + ... + 11513384.

It is an arithmetic number, because the mean of its divisors is an integer number (8561772450).

Almost surely, 2368938143260 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 368938143260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410965077600).

368938143260 is an abundant number, since it is smaller than the sum of its proper divisors (452992011940).

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

368938143260 is a wasteful number, since it uses less digits than its factorization.

368938143260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32631 (or 32629 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 368938143260 in words is "three hundred sixty-eight billion, nine hundred thirty-eight million, one hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 461 580 860 922 1247 1844 2305 2494 4610 4988 6235 9220 12470 13369 19823 24940 26738 32089 39646 53476 64178 66845 79292 99115 128356 133690 160445 198230 267380 320890 396460 574867 641780 930581 1149734 1379827 1861162 2299468 2759654 2874335 3722324 4652905 5519308 5748670 6899135 9305810 11497340 13798270 14793029 18611620 27596540 29586058 40014983 59172116 73965145 80029966 147930290 160059932 200074915 295860580 400149830 428997841 636100247 800299660 857995682 1272200494 1715991364 2144989205 2544400988 3180501235 4289978410 6361002470 8579956820 12722004940 18446907163 36893814326 73787628652 92234535815 184469071630 368938143260