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45133483008 = 210338332
BaseRepresentation
bin101010000010001010…
…100100110000000000
311022111102121111022210
4222002022210300000
51214413132424013
632422315102120
73155310163365
oct520212446000
9138442544283
1045133483008
1118160746889
1288b7141940
134343779083
14228229846c
151292508cc3
hexa822a4c00

45133483008 has 66 divisors (see below), whose sum is σ = 120328579924. Its totient is φ = 15040569344.

The previous prime is 45133483001. The next prime is 45133483009. The reversal of 45133483008 is 80038433154.

It is not an unprimeable number, because it can be changed into a prime (45133483001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11773060 + ... + 11776892.

Almost surely, 245133483008 is an apocalyptic number.

45133483008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45133483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60164289962).

45133483008 is an abundant number, since it is smaller than the sum of its proper divisors (75195096916).

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

45133483008 is an frugal number, since it uses more digits than its factorization.

45133483008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 45133483008 in words is "forty-five billion, one hundred thirty-three million, four hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3833 7666 11499 15332 22998 30664 45996 61328 91992 122656 183984 245312 367968 490624 735936 981248 1471872 1962496 2943744 3924992 5887488 11774976 14691889 29383778 44075667 58767556 88151334 117535112 176302668 235070224 352605336 470140448 705210672 940280896 1410421344 1880561792 2820842688 3761123584 5641685376 7522247168 11283370752 15044494336 22566741504 45133483008