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5231656144 = 24111329372131
BaseRepresentation
bin1001101111101010…
…01011110011010000
3111111121021200001101
410313311023303100
541203300444034
62223044314144
7243434225551
oct46765136320
914447250041
105231656144
112245151770
1210200a2954
13654b4a930
14378b64328
15209465514
hex137d4bcd0

5231656144 has 160 divisors (see below), whose sum is σ = 12657939840. Its totient is φ = 2061158400.

The previous prime is 5231656141. The next prime is 5231656159. The reversal of 5231656144 is 4416561325.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5231656141) 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, 2453959 + ... + 2456089.

It is an arithmetic number, because the mean of its divisors is an integer number (79112124).

Almost surely, 25231656144 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 5231656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328969920).

5231656144 is an abundant number, since it is smaller than the sum of its proper divisors (7426283696).

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

5231656144 is a wasteful number, since it uses less digits than its factorization.

5231656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2223 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 5231656144 is about 72330.1883310143. The cubic root of 5231656144 is about 1735.9867147716.

The spelling of 5231656144 in words is "five billion, two hundred thirty-one million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 37 44 52 58 74 88 104 116 143 148 176 208 232 286 296 319 377 407 464 481 572 592 638 754 814 962 1073 1144 1276 1508 1628 1924 2131 2146 2288 2552 3016 3256 3848 4147 4262 4292 5104 5291 6032 6512 7696 8294 8524 8584 10582 11803 13949 16588 17048 17168 21164 23441 23606 27703 27898 33176 34096 42328 46882 47212 55406 55796 61799 66352 78847 84656 93764 94424 110812 111592 123598 153439 157694 187528 188848 221624 223184 247196 304733 306878 315388 375056 443248 494392 609466 613756 630776 679789 803387 867317 988784 1025011 1218932 1227512 1261552 1359578 1606774 1734634 2050022 2286563 2437864 2455024 2719156 3213548 3469268 4100044 4573126 4875728 5438312 6427096 6938536 8200088 8837257 9146252 10876624 11275121 12854192 13877072 16400176 17674514 18292504 22550242 25152193 29725319 35349028 36585008 45100484 50304386 59450638 70698056 90200968 100608772 118901276 141396112 180401936 201217544 237802552 326978509 402435088 475605104 653957018 1307914036 2615828072 5231656144