Search a number
-
+
41393767296 = 2737173129221
BaseRepresentation
bin100110100011010000…
…101100001110000000
310221211210200020210110
4212203100230032000
51134233301023141
631003244031320
72663530134210
oct464320541600
9127753606713
1041393767296
1116611780042
128032832540
133b98a5b13b
14200973a240
151124049e16
hex9a342c380

41393767296 has 256 divisors, whose sum is σ = 137348075520. Its totient is φ = 10771660800.

The previous prime is 41393767249. The next prime is 41393767409. The reversal of 41393767296 is 69276739314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401966 + ... + 1431186.

It is an arithmetic number, because the mean of its divisors is an integer number (536515920).

Almost surely, 241393767296 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 41393767296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68674037760).

41393767296 is an abundant number, since it is smaller than the sum of its proper divisors (95954308224).

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

41393767296 is a wasteful number, since it uses less digits than its factorization.

41393767296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29293 (or 29281 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 57.

The spelling of 41393767296 in words is "forty-one billion, three hundred ninety-three million, seven hundred sixty-seven thousand, two hundred ninety-six".