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45774933841728 = 2633713319390331
BaseRepresentation
bin10100110100001110011101…
…01010111101011101000000
320000002001002211210002211000
422122013032222331131000
521444434031030413403
6241204414142252000
712433062350553240
oct1232071652753500
9200061084702730
1045774933841728
1113649049892643
1251735a4887000
131c70733479b80
14b4373913bb20
15545a9ed407a3
hex29a1ceabd740

45774933841728 has 448 divisors, whose sum is σ = 170967145431040. Its totient is φ = 11683072972800.

The previous prime is 45774933841699. The next prime is 45774933841733. The reversal of 45774933841728 is 82714833947754.

45774933841728 is a `hidden beast` number, since 4 + 5 + 7 + 74 + 9 + 3 + 384 + 172 + 8 = 666.

45774933841728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179523 + ... + 9569853.

It is an arithmetic number, because the mean of its divisors is an integer number (381623092480).

Almost surely, 245774933841728 is an apocalyptic number.

45774933841728 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 45774933841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85483572715520).

45774933841728 is an abundant number, since it is smaller than the sum of its proper divisors (125192211589312).

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

45774933841728 is a wasteful number, since it uses less digits than its factorization.

45774933841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390403 (or 9390387 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 45774933841728 in words is "forty-five trillion, seven hundred seventy-four billion, nine hundred thirty-three million, eight hundred forty-one thousand, seven hundred twenty-eight".