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45213217956 = 2234118132
BaseRepresentation
bin101010000110111010…
…101111010010100100
311022200222122110010000
4222012322233102210
51220044040433311
632434244101300
73160266003654
oct520672572244
9138628573100
1045213217956
11181a1756935
128919994830
13435714590a
14228cad2364
151299509056
hexa86eaf4a4

45213217956 has 45 divisors (see below), whose sum is σ = 118206289201. Its totient is φ = 15069796848.

The previous prime is 45213217939. The next prime is 45213217961. The reversal of 45213217956 is 65971231254.

The square root of 45213217956 is 212634.

It is a perfect power (a square), and thus also a powerful number.

45213217956 is a `hidden beast` number, since 4 + 521 + 3 + 2 + 1 + 79 + 56 = 666.

45213217956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17718272100 + 27494945856 = 133110^2 + 165816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3821506 + ... + 3833318.

Almost surely, 245213217956 is an apocalyptic number.

45213217956 is the 212634-th square number.

It is an amenable number.

45213217956 is an abundant number, since it is smaller than the sum of its proper divisors (72993071245).

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

45213217956 is an frugal number, since it uses more digits than its factorization.

45213217956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23642 (or 11818 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

It can be divided in two parts, 45213 and 217956, that added together give a square (263169 = 5132).

The spelling of 45213217956 in words is "forty-five billion, two hundred thirteen million, two hundred seventeen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11813 23626 35439 47252 70878 106317 141756 212634 318951 425268 637902 956853 1275804 1913706 3827412 139546969 279093938 418640907 558187876 837281814 1255922721 1674563628 2511845442 3767768163 5023690884 7535536326 11303304489 15071072652 22606608978 45213217956