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41392006992 = 2434731532777
BaseRepresentation
bin100110100011001001…
…111110011101010000
310221211200100211010000
4212203021332131100
51134232323210432
631003142210000
72663506153140
oct464311763520
9127750324100
1041392006992
1116610788546
128032123900
133b98592b3b
1420093dc920
151123ced57c
hex9a327e750

41392006992 has 400 divisors, whose sum is σ = 144049923072. Its totient is φ = 11224811520.

The previous prime is 41392006987. The next prime is 41392006993. The reversal of 41392006992 is 29960029314.

It is a happy number.

41392006992 is a `hidden beast` number, since 413 + 92 + 0 + 0 + 69 + 92 = 666.

41392006992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41392006993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14903908 + ... + 14906684.

Almost surely, 241392006992 is an apocalyptic number.

41392006992 is a gapful number since it is divisible by the number (42) 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 41392006992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72024961536).

41392006992 is an abundant number, since it is smaller than the sum of its proper divisors (102657916080).

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

41392006992 is a wasteful number, since it uses less digits than its factorization.

41392006992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 41392006992 in words is "forty-one billion, three hundred ninety-two million, six thousand, nine hundred ninety-two".