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45885944832 = 21037131953163
BaseRepresentation
bin101010101111000000…
…111111010000000000
311101102212111111220020
4222233000333100000
51222433300213312
633025115013440
73213045044550
oct525700772000
9141385444806
1045885944832
1118507468562
128a8713a280
134433626260
1423141ab160
1512d85e078c
hexaaf03f400

45885944832 has 704 divisors, whose sum is σ = 162428958720. Its totient is φ = 11179524096.

The previous prime is 45885944831. The next prime is 45885944837. The reversal of 45885944832 is 23844958854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45885944831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281508783 + ... + 281508945.

Almost surely, 245885944832 is an apocalyptic number.

45885944832 is a gapful number since it is divisible by the number (42) 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 45885944832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81214479360).

45885944832 is an abundant number, since it is smaller than the sum of its proper divisors (116543013888).

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

45885944832 is a wasteful number, since it uses less digits than its factorization.

45885944832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 45885944832 in words is "forty-five billion, eight hundred eighty-five million, nine hundred forty-four thousand, eight hundred thirty-two".