Search a number
-
+
53322013312 = 2771113137379
BaseRepresentation
bin110001101010001111…
…010101101010000000
312002122002202221011221
4301222033111222000
51333200413411222
640255031444424
73565240430521
oct615217255200
9162562687157
1053322013312
11206829828a7
12a401526714
13504a08b989
14281b9da848
1515c13450c7
hexc6a3d5a80

53322013312 has 128 divisors (see below), whose sum is σ = 109759017600. Its totient is φ = 25794478080.

The previous prime is 53322013301. The next prime is 53322013313. The reversal of 53322013312 is 21331022335.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (53322013313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140691139 + ... + 140691517.

It is an arithmetic number, because the mean of its divisors is an integer number (857492325).

Almost surely, 253322013312 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 53322013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54879508800).

53322013312 is an abundant number, since it is smaller than the sum of its proper divisors (56437004288).

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

53322013312 is a wasteful number, since it uses less digits than its factorization.

53322013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 53322013312 its reverse (21331022335), we get a palindrome (74653035647).

The spelling of 53322013312 in words is "fifty-three billion, three hundred twenty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 113 128 137 142 226 274 284 379 452 548 568 758 904 1096 1136 1516 1808 2192 2272 3032 3616 4384 4544 6064 7232 8023 8768 9088 9727 12128 14464 15481 16046 17536 19454 24256 26909 30962 32092 38908 42827 48512 51923 53818 61924 64184 77816 85654 103846 107636 123848 128368 155632 171308 207692 215272 247696 256736 311264 342616 415384 430544 495392 513472 622528 685232 830768 861088 990784 1026944 1099151 1245056 1370464 1661536 1722176 1981568 2198302 2740928 3040717 3323072 3444352 3686533 4396604 5481856 5867299 6081434 6646144 7373066 8793208 11734598 12162868 14746132 17586416 23469196 24325736 29492264 35172832 46938392 48651472 58984528 70345664 93876784 97302944 117969056 140691328 187753568 194605888 235938112 375507136 389211776 416578229 471876224 751014272 833156458 1666312916 3332625832 6665251664 13330503328 26661006656 53322013312