Search a number
-
+
36323814120108 = 22319737741281927
BaseRepresentation
bin10000100001001010011000…
…00010011001101010101100
311202121112010001121222112220
420100211030002121222230
514230112132403320413
6205130532502355340
710436210655455454
oct1020451402315254
9152545101558486
1036323814120108
11106349301246a9
1240a796ba2bb50
131736423244978
148d8120d6cd64
1542ecebe46223
hex21094c099aac

36323814120108 has 96 divisors (see below), whose sum is σ = 90450531709440. Its totient is φ = 11312043932160.

The previous prime is 36323814120079. The next prime is 36323814120221. The reversal of 36323814120108 is 80102141832363.

It is a self number, because there is not a number n which added to its sum of digits gives 36323814120108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128700241 + ... + 128982167.

It is an arithmetic number, because the mean of its divisors is an integer number (942193038640).

Almost surely, 236323814120108 is an apocalyptic number.

36323814120108 is a gapful number since it is divisible by the number (38) 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 36323814120108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45225265854720).

36323814120108 is an abundant number, since it is smaller than the sum of its proper divisors (54126717589332).

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

36323814120108 is a wasteful number, since it uses less digits than its factorization.

36323814120108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289767 (or 289765 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 36323814120108 in words is "thirty-six trillion, three hundred twenty-three billion, eight hundred fourteen million, one hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 876 1387 2774 4161 5548 7741 8322 15482 16644 23223 30964 46446 92892 147079 281927 294158 441237 563854 565093 588316 845781 882474 1127708 1130186 1691562 1695279 1764948 2260372 3383124 3390558 5356613 6781116 10713226 10736767 16069839 20580671 21426452 21473534 32139678 32210301 41161342 42947068 61742013 64279356 64420602 82322684 123484026 128841204 246968052 391032749 782065498 1173098247 1564130996 2182396907 2346196494 4364793814 4692392988 6547190721 8729587628 13094381442 26188762884 41465541233 82931082466 124396623699 159314974211 165862164932 248793247398 318629948422 477944922633 497586494796 637259896844 955889845266 1911779690532 3026984510009 6053969020018 9080953530027 12107938040036 18161907060054 36323814120108