Search a number
-
+
30565600368 = 24341891091601
BaseRepresentation
bin11100011101110110…
…100000110001110000
32220220011120101012220
4130131312200301300
51000044243202433
622012554521040
72131305213342
oct343566406160
986804511186
1030565600368
1111a65536a56
125b10436180
132b61608284
14169d5d9292
15bdd5ee2b3
hex71dda0c70

30565600368 has 160 divisors (see below), whose sum is σ = 82597838400. Its totient is φ = 9732096000.

The previous prime is 30565600361. The next prime is 30565600411. The reversal of 30565600368 is 86300656503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30565600361) by changing a digit.

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, 19090768 + ... + 19092368.

It is an arithmetic number, because the mean of its divisors is an integer number (516236490).

Almost surely, 230565600368 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 30565600368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41298919200).

30565600368 is an abundant number, since it is smaller than the sum of its proper divisors (52032238032).

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

30565600368 is a wasteful number, since it uses less digits than its factorization.

30565600368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 30565600368 in words is "thirty billion, five hundred sixty-five million, six hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 109 123 164 178 218 246 267 327 328 356 436 492 534 654 656 712 872 984 1068 1308 1424 1601 1744 1968 2136 2616 3202 3649 4272 4469 4803 5232 6404 7298 8938 9606 9701 10947 12808 13407 14596 17876 19212 19402 21894 25616 26814 29103 29192 35752 38424 38804 43788 53628 58206 58384 65641 71504 76848 77608 87576 107256 116412 131282 142489 155216 174509 175152 196923 214512 232824 262564 284978 349018 393846 397741 427467 465648 523527 525128 569956 698036 787692 795482 854934 1047054 1050256 1139912 1193223 1396072 1575384 1590964 1709868 2094108 2279824 2386446 2792144 3150768 3181928 3419736 4188216 4772892 5842049 6363856 6839472 7154869 8376432 9545784 11684098 14309738 15531301 17526147 19091568 21464607 23368196 28619476 31062602 35052294 42929214 46593903 46736392 57238952 62125204 70104588 85858428 93187806 93472784 114477904 124250408 140209176 171716856 186375612 248500816 280418352 343433712 372751224 636783341 745502448 1273566682 1910350023 2547133364 3820700046 5094266728 7641400092 10188533456 15282800184 30565600368