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36044212224 = 211310356957
BaseRepresentation
bin100001100100011001…
…110000100000000000
310110000222112200211010
4201210121300200000
51042304304242344
624320344320520
72414131514556
oct414431604000
9113028480733
1036044212224
1114317022149
126b9b173140
133525670a37
141a5d085bd6
15e0e5968b9
hex864670800

36044212224 has 96 divisors (see below), whose sum is σ = 97029092160. Its totient is φ = 11897880576.

The previous prime is 36044212159. The next prime is 36044212241. The reversal of 36044212224 is 42221244063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36044212191 and 36044212200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604354 + ... + 661310.

It is an arithmetic number, because the mean of its divisors is an integer number (1010719710).

Almost surely, 236044212224 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 36044212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48514546080).

36044212224 is an abundant number, since it is smaller than the sum of its proper divisors (60984879936).

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

36044212224 is a wasteful number, since it uses less digits than its factorization.

36044212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57085 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 36044212224 its reverse (42221244063), we get a palindrome (78265456287).

The spelling of 36044212224 in words is "thirty-six billion, forty-four million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2048 2472 3072 3296 4944 6144 6592 9888 13184 19776 26368 39552 52736 56957 79104 105472 113914 158208 170871 210944 227828 316416 341742 455656 632832 683484 911312 1366968 1822624 2733936 3645248 5467872 5866571 7290496 10935744 11733142 14580992 17599713 21871488 23466284 29161984 35199426 43742976 46932568 58323968 70398852 87485952 93865136 116647936 140797704 174971904 187730272 281595408 349943808 375460544 563190816 750921088 1126381632 1501842176 2252763264 3003684352 4505526528 6007368704 9011053056 12014737408 18022106112 36044212224