Search a number
-
+
36043205124 = 223194113612833
BaseRepresentation
bin100001100100010101…
…111010101000000100
310110000220122112100010
4201210111322220010
51042304030030444
624320310550220
72414120121453
oct414425725004
9113026575303
1036043205124
11143164a4533
126b9a968370
1335253aa514
141a5cca2b9a
15e0e4482b9
hex86457aa04

36043205124 has 96 divisors (see below), whose sum is σ = 90785036160. Its totient is φ = 11092377600.

The previous prime is 36043205119. The next prime is 36043205131. The reversal of 36043205124 is 42150234063.

It is a super-2 number, since 2×360432051242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36043205091 and 36043205100.

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, 12721212 + ... + 12724044.

It is an arithmetic number, because the mean of its divisors is an integer number (945677460).

Almost surely, 236043205124 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 36043205124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45392518080).

36043205124 is an abundant number, since it is smaller than the sum of its proper divisors (54741831036).

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

36043205124 is a wasteful number, since it uses less digits than its factorization.

36043205124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 36043205124 its reverse (42150234063), we get a palindrome (78193439187).

The spelling of 36043205124 in words is "thirty-six billion, forty-three million, two hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1361 1558 2337 2722 2833 3116 4083 4674 5444 5666 8166 8499 9348 11332 16332 16998 25859 33996 51718 53827 55801 77577 103436 107654 111602 116153 155154 161481 167403 215308 223204 232306 310308 322962 334806 348459 464612 645924 669612 696918 1060219 1393836 2120438 2206907 3180657 3855713 4240876 4413814 6361314 6620721 7711426 8827628 11567139 12722628 13241442 15422852 23134278 26482884 46268556 73258547 146517094 158084233 219775641 293034188 316168466 439551282 474252699 632336932 879102564 948505398 1897010796 3003600427 6007200854 9010801281 12014401708 18021602562 36043205124