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44997000048 = 243271113487641
BaseRepresentation
bin101001111010000001…
…111011101101110000
311022010220210102220100
4221322001323231300
51214123213000143
632401001512400
73152032122030
oct517201735560
9138126712810
1044997000048
11180a06a7150
1288794a2700
134321400820
14226c0cb8c0
1512855496d3
hexa7a07bb70

44997000048 has 480 divisors, whose sum is σ = 169691139072. Its totient is φ = 10749542400.

The previous prime is 44997000043. The next prime is 44997000101. The reversal of 44997000048 is 84000079944.

It is a junction number, because it is equal to n+sod(n) for n = 44996999967 and 44997000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44997000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70197808 + ... + 70198448.

Almost surely, 244997000048 is an apocalyptic number.

44997000048 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 44997000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84845569536).

44997000048 is an abundant number, since it is smaller than the sum of its proper divisors (124694139024).

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

44997000048 is a wasteful number, since it uses less digits than its factorization.

44997000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 44997000048 in words is "forty-four billion, nine hundred ninety-seven million, forty-eight", and thus it is an aban number.