Search a number
-
+
45408225016 = 23711647113933
BaseRepresentation
bin101010010010100010…
…101000011011111000
311100012120120211111201
4222102202220123320
51220444001200031
632505451503544
73165154354450
oct522242503370
9140176524451
1045408225016
11182918395a0
128973157bb4
1343886723cb
1422aa974d60
1512ab6c8d61
hexa928a86f8

45408225016 has 64 divisors (see below), whose sum is σ = 106314094080. Its totient is φ = 17664017280.

The previous prime is 45408225011. The next prime is 45408225041. The reversal of 45408225016 is 61052280454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45408225011) 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, 341586 + ... + 455518.

It is an arithmetic number, because the mean of its divisors is an integer number (1661157720).

Almost surely, 245408225016 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 45408225016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53157047040).

45408225016 is an abundant number, since it is smaller than the sum of its proper divisors (60905869064).

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

45408225016 is a wasteful number, since it uses less digits than its factorization.

45408225016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114604 (or 114600 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 45408225016 in words is "forty-five billion, four hundred eight million, two hundred twenty-five thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 647 1294 2588 4529 5176 7117 9058 14234 18116 28468 36232 49819 56936 99638 113933 199276 227866 398552 455732 797531 911464 1253263 1595062 2506526 3190124 5013052 6380248 8772841 10026104 17545682 35091364 70182728 73714651 147429302 294858604 516002557 589717208 810861161 1032005114 1621722322 2064010228 3243444644 4128020456 5676028127 6486889288 11352056254 22704112508 45408225016