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44772485940 = 223457133197101
BaseRepresentation
bin101001101100101001…
…011110101100110100
311021120021022221110000
4221230221132230310
51213143224022230
632322421431300
73143334564660
oct515451365464
9137507287400
1044772485940
1117a959a03a6
12881626b530
1342b6a42540
14224a3678a0
15127099bb60
hexa6ca5eb34

44772485940 has 960 divisors, whose sum is σ = 182066024448. Its totient is φ = 8957952000.

The previous prime is 44772485921. The next prime is 44772485957. The reversal of 44772485940 is 4958427744.

44772485940 is a `hidden beast` number, since 4 + 4 + 7 + 7 + 2 + 48 + 594 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 443291890 + ... + 443291990.

Almost surely, 244772485940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44772485940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91033012224).

44772485940 is an abundant number, since it is smaller than the sum of its proper divisors (137293538508).

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

44772485940 is a wasteful number, since it uses less digits than its factorization.

44772485940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 44772485940 in words is "forty-four billion, seven hundred seventy-two million, four hundred eighty-five thousand, nine hundred forty".