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44202979968 = 2737279131227
BaseRepresentation
bin101001001010101100…
…111111001010000000
311020002120201001010020
4221022230333022000
51211011430324333
632150115133440
73123251062500
oct511254771200
9136076631106
1044202979968
1117823480104
1286975a4280
134225a62764
1421d487ba00
15123a9a43b3
hexa4ab3f280

44202979968 has 384 divisors, whose sum is σ = 139982515200. Its totient is φ = 12319856640.

The previous prime is 44202979903. The next prime is 44202979969. The reversal of 44202979968 is 86997920244.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (44202979969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194726671 + ... + 194726897.

It is an arithmetic number, because the mean of its divisors is an integer number (364537800).

Almost surely, 244202979968 is an apocalyptic number.

44202979968 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 44202979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69991257600).

44202979968 is an abundant number, since it is smaller than the sum of its proper divisors (95779535232).

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

44202979968 is a wasteful number, since it uses less digits than its factorization.

44202979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 44202979968 in words is "forty-four billion, two hundred two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".