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41808042432 = 2634134115131
BaseRepresentation
bin100110111011111101…
…000001100111000000
310222220200012121110000
4212323331001213000
51141110324324212
631112323240000
73010020332352
oct467375014700
9128820177400
1041808042432
1116804606092
128129519000
133c3382a160
1420487790d2
15114a5cd1dc
hex9bbf419c0

41808042432 has 280 divisors, whose sum is σ = 136729665072. Its totient is φ = 12549427200.

The previous prime is 41808042431. The next prime is 41808042439. The reversal of 41808042432 is 23424080814.

41808042432 is a `hidden beast` number, since 4 + 180 + 8 + 0 + 42 + 432 = 666.

41808042432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41808042431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2755507 + ... + 2770637.

Almost surely, 241808042432 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 41808042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68364832536).

41808042432 is an abundant number, since it is smaller than the sum of its proper divisors (94921622640).

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

41808042432 is a wasteful number, since it uses less digits than its factorization.

41808042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15209 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 41808042432 in words is "forty-one billion, eight hundred eight million, forty-two thousand, four hundred thirty-two".