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2153436012 = 2232713679811
BaseRepresentation
bin1000000001011010…
…1101001101101100
312120002001212212100
42000112231031230
513402234423022
6553403335100
7104235622050
oct20026551554
95502055770
102153436012
11a05616392
12501221490
132841aa1c0
14165dd9c60
15c90c01ac
hex805ad36c

2153436012 has 144 divisors (see below), whose sum is σ = 6800265472. Its totient is φ = 559405440.

The previous prime is 2153435993. The next prime is 2153436017. The reversal of 2153436012 is 2106343512.

2153436012 is a `hidden beast` number, since 2 + 1 + 53 + 4 + 3 + 601 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2153436017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214587 + ... + 224397.

Almost surely, 22153436012 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 2153436012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400132736).

2153436012 is an abundant number, since it is smaller than the sum of its proper divisors (4646829460).

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

2153436012 is a wasteful number, since it uses less digits than its factorization.

2153436012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2153436012 is about 46405.1291561612. The cubic root of 2153436012 is about 1291.3500702542.

Adding to 2153436012 its reverse (2106343512), we get a palindrome (4259779524).

The spelling of 2153436012 in words is "two billion, one hundred fifty-three million, four hundred thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 402 468 469 546 603 804 819 871 938 1092 1206 1407 1638 1742 1876 2412 2613 2814 3276 3484 4221 5226 5628 6097 7839 8442 9811 10452 12194 15678 16884 18291 19622 24388 29433 31356 36582 39244 54873 58866 68677 73164 88299 109746 117732 127543 137354 176598 206031 219492 255086 274708 353196 382629 412062 510172 618093 657337 765258 824124 892801 1147887 1236186 1314674 1530516 1785602 1972011 2295774 2472372 2629348 2678403 3571204 3944022 4591548 4601359 5356806 5916033 7888044 8035209 8545381 9202718 10713612 11832066 13804077 16070418 17090762 18405436 23664132 25636143 27608154 32140836 34181524 41412231 51272286 55216308 59817667 76908429 82824462 102544572 119635334 153816858 165648924 179453001 239270668 307633716 358906002 538359003 717812004 1076718006 2153436012