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44813383680 = 2113513112213
BaseRepresentation
bin101001101111000101…
…011111100000000000
311021200010021202121010
4221233011133200000
51213234211234210
632330442200520
73144342322242
oct515705374000
9137603252533
1044813383680
1118006a9448a
128827ab3140
1342c23618a0
142251972092
151274379920
hexa6f15f800

44813383680 has 192 divisors, whose sum is σ = 154397486880. Its totient is φ = 11030888448.

The previous prime is 44813383669. The next prime is 44813383687. The reversal of 44813383680 is 8638331844.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×448133836803 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44813383687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343254 + ... + 455466.

Almost surely, 244813383680 is an apocalyptic number.

44813383680 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 44813383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77198743440).

44813383680 is an abundant number, since it is smaller than the sum of its proper divisors (109584103200).

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

44813383680 is a wasteful number, since it uses less digits than its factorization.

44813383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112256 (or 112236 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 44813383680 in words is "forty-four billion, eight hundred thirteen million, three hundred eighty-three thousand, six hundred eighty".