Search a number
-
+
36064415072 = 2571813792347
BaseRepresentation
bin100001100101100110…
…110100110101100000
310110002101120002220202
4201211212310311200
51042324442240242
624322345324332
72414465320160
oct414546646540
9113071502822
1036064415072
1114327470914
126ba5a966a8
1335298c559a
141a61a245a0
15e11237932
hex8659b4d60

36064415072 has 96 divisors (see below), whose sum is σ = 81843390720. Its totient is φ = 15323696640.

The previous prime is 36064414987. The next prime is 36064415089. The reversal of 36064415072 is 27051446063.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15365003 + ... + 15367349.

It is an arithmetic number, because the mean of its divisors is an integer number (852535320).

Almost surely, 236064415072 is an apocalyptic number.

36064415072 is a gapful number since it is divisible by the number (32) 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 36064415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40921695360).

36064415072 is an abundant number, since it is smaller than the sum of its proper divisors (45778975648).

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

36064415072 is a wasteful number, since it uses less digits than its factorization.

36064415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 36064415072 in words is "thirty-six billion, sixty-four million, four hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 379 724 758 1267 1448 1516 2347 2534 2653 2896 3032 4694 5068 5306 5792 6064 9388 10136 10612 12128 16429 18776 20272 21224 32858 37552 40544 42448 65716 68599 75104 84896 131432 137198 262864 274396 424807 480193 525728 548792 849614 889513 960386 1097584 1699228 1779026 1920772 2195168 2973649 3398456 3558052 3841544 5947298 6226591 6796912 7116104 7683088 11894596 12453182 13593824 14232208 15366176 23789192 24906364 28464416 47578384 49812728 95156768 99625456 161001853 199250912 322003706 644007412 1127012971 1288014824 2254025942 2576029648 4508051884 5152059296 9016103768 18032207536 36064415072