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43741969920 = 2934511127151
BaseRepresentation
bin101000101111001110…
…010111111000000000
311011220110020022020000
4220233032113320000
51204040421014140
632032250120000
73105652416045
oct505716277000
9134813208200
1043741969920
1117607224470
128589120000
1341813ac54c
14218d5551cc
15121028da30
hexa2f397e00

43741969920 has 800 divisors, whose sum is σ = 173399187456. Its totient is φ = 10450944000.

The previous prime is 43741969889. The next prime is 43741969967. The reversal of 43741969920 is 2996914734.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289681845 + ... + 289681995.

Almost surely, 243741969920 is an apocalyptic number.

43741969920 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 43741969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86699593728).

43741969920 is an abundant number, since it is smaller than the sum of its proper divisors (129657217536).

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

43741969920 is a wasteful number, since it uses less digits than its factorization.

43741969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 43741969920 in words is "forty-three billion, seven hundred forty-one million, nine hundred sixty-nine thousand, nine hundred twenty".