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44228929920 = 2735717259193
BaseRepresentation
bin101001001100001111…
…111110100110000000
311020011101112102202120
4221030033332212000
51211040101224140
632152443244240
73124014462360
oct511417764600
9136141472676
1044228929920
111783709474a
1286a4219680
13422b24a166
1421d80b49a0
15123cdcd1d0
hexa4c3fe980

44228929920 has 768 divisors, whose sum is σ = 174957580800. Its totient is φ = 9305063424.

The previous prime is 44228929807. The next prime is 44228929939. The reversal of 44228929920 is 2992982244.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229165344 + ... + 229165536.

It is an arithmetic number, because the mean of its divisors is an integer number (227809350).

Almost surely, 244228929920 is an apocalyptic number.

44228929920 is a gapful number since it is divisible by the number (40) 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 44228929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87478790400).

44228929920 is an abundant number, since it is smaller than the sum of its proper divisors (130728650880).

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

44228929920 is a wasteful number, since it uses less digits than its factorization.

44228929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 44228929920 in words is "forty-four billion, two hundred twenty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".