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43249489920 = 211355713191
BaseRepresentation
bin101000010001110111…
…101101100000000000
311010122010112201200000
4220101313231200000
51202033332134140
631511334400000
73060522412230
oct502167554000
9133563481600
1043249489920
11173842339aa
128470200000
13410335b270
142143d99cc0
1511d1e0da30
hexa11ded800

43249489920 has 1152 divisors, whose sum is σ = 192320593920. Its totient is φ = 9077391360.

The previous prime is 43249489903. The next prime is 43249489939. The reversal of 43249489920 is 2998494234.

43249489920 is a `hidden beast` number, since 4 + 32 + 49 + 489 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437025 + ... + 226437215.

It is an arithmetic number, because the mean of its divisors is an integer number (166944960).

Almost surely, 243249489920 is an apocalyptic number.

43249489920 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 43249489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96160296960).

43249489920 is an abundant number, since it is smaller than the sum of its proper divisors (149071104000).

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

43249489920 is a wasteful number, since it uses less digits than its factorization.

43249489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 43249489920 in words is "forty-three billion, two hundred forty-nine million, four hundred eighty-nine thousand, nine hundred twenty".