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32002012044 = 223223537110271
BaseRepresentation
bin11101110011011101…
…111111001110001100
310001121021102122121100
4131303131333032030
51011020003341134
622411310103100
72212016420442
oct356335771614
9101537378540
1032002012044
1112632335342
1262514aaa90
133030095202
1417982a8b92
15c74787999
hex77377f38c

32002012044 has 144 divisors (see below), whose sum is σ = 87223578624. Its totient is φ = 9869059200.

The previous prime is 32002012033. The next prime is 32002012051. The reversal of 32002012044 is 44021020023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3110629 + ... + 3120899.

It is an arithmetic number, because the mean of its divisors is an integer number (605719296).

Almost surely, 232002012044 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 32002012044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43611789312).

32002012044 is an abundant number, since it is smaller than the sum of its proper divisors (55221566580).

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

32002012044 is a wasteful number, since it uses less digits than its factorization.

32002012044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32002012044 its reverse (44021020023), we get a palindrome (76023032067).

The spelling of 32002012044 in words is "thirty-two billion, two million, twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 71 92 106 138 142 159 207 212 213 276 284 318 414 426 477 636 639 828 852 954 1219 1278 1633 1908 2438 2556 3266 3657 3763 4876 4899 6532 7314 7526 9798 10271 10971 11289 14628 14697 15052 19596 20542 21942 22578 29394 30813 33867 41084 43884 45156 58788 61626 67734 86549 92439 123252 135468 173098 184878 236233 259647 346196 369756 472466 519294 544363 708699 729241 778941 944932 1038588 1088726 1417398 1458482 1557882 1633089 2126097 2177452 2187723 2834796 2916964 3115764 3266178 4252194 4375446 4899267 6532356 6563169 8504388 8750892 9798534 12520349 13126338 16772543 19597068 25040698 26252676 33545086 37561047 38649773 50081396 50317629 67090172 75122094 77299546 100635258 112683141 115949319 150244188 150952887 154599092 201270516 225366282 231898638 301905774 347847957 450732564 463797276 603811548 695695914 888944779 1391391828 1777889558 2666834337 3555779116 5333668674 8000503011 10667337348 16001006022 32002012044