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2153436036 = 2231747792843
BaseRepresentation
bin1000000001011010…
…1101001110000100
312120002001212220020
42000112231032010
513402234423121
6553403335140
7104235622113
oct20026551604
95502055806
102153436036
11a05616404
125012214b0
132841aa20b
14165dd9c7a
15c90c01c6
hex805ad384

2153436036 has 96 divisors (see below), whose sum is σ = 5504163840. Its totient is φ = 652614144.

The previous prime is 2153436031. The next prime is 2153436067. The reversal of 2153436036 is 6306343512.

It is a super-2 number, since 2×21534360362 = 9274573522286786592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2153435988 and 2153436006.

It is not an unprimeable number, because it can be changed into a prime (2153436031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756031 + ... + 758873.

It is an arithmetic number, because the mean of its divisors is an integer number (57335040).

Almost surely, 22153436036 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 2153436036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752081920).

2153436036 is an abundant number, since it is smaller than the sum of its proper divisors (3350727804).

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

2153436036 is a wasteful number, since it uses less digits than its factorization.

2153436036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 2153436036 is about 46405.1294147533. The cubic root of 2153436036 is about 1291.3500750516.

Adding to 2153436036 its reverse (6306343512), we get a palindrome (8459779548).

The spelling of 2153436036 in words is "two billion, one hundred fifty-three million, four hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 79 94 102 141 158 188 204 237 282 316 474 564 799 948 1343 1598 2397 2686 2843 3196 3713 4029 4794 5372 5686 7426 8058 8529 9588 11139 11372 14852 16116 17058 22278 34116 44556 48331 63121 96662 126242 133621 144993 189363 193324 224597 252484 267242 289986 378726 400863 449194 534484 579972 673791 757452 801726 898388 1347582 1603452 2271557 2695164 3818149 4543114 6814671 7636298 9086228 10556059 11454447 13629342 15272596 21112118 22908894 27258684 31668177 42224236 45817788 63336354 126672708 179453003 358906006 538359009 717812012 1076718018 2153436036