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43039746048 = 2113131979359
BaseRepresentation
bin101000000101010111…
…100110100000000000
311010002111212122011110
4220011113212200000
51201121133333143
631434443043320
73052364543115
oct500527464000
9133074778143
1043039746048
11172868a6262
128411b10540
13409ba71b70
14212419c90c
1511bd7cc533
hexa055e6800

43039746048 has 384 divisors, whose sum is σ = 132088320000. Its totient is φ = 12352684032.

The previous prime is 43039746047. The next prime is 43039746059. The reversal of 43039746048 is 84064793034.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 43039745988 and 43039746006.

It is not an unprimeable number, because it can be changed into a prime (43039746041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119887693 + ... + 119888051.

It is an arithmetic number, because the mean of its divisors is an integer number (343980000).

Almost surely, 243039746048 is an apocalyptic number.

43039746048 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 43039746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160000).

43039746048 is an abundant number, since it is smaller than the sum of its proper divisors (89048573952).

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

43039746048 is a wasteful number, since it uses less digits than its factorization.

43039746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 43039746048 in words is "forty-three billion, thirty-nine million, seven hundred forty-six thousand, forty-eight".