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41492816640 = 28325112172103
BaseRepresentation
bin100110101001001010…
…100010001100000000
310222002201001110221200
4212221022202030000
51134434130113030
631021143021200
72666142056622
oct465112421400
9128081043850
1041492816640
1116662682300
12805ba3a800
133bb342b012
142018960c12
15112cab2d60
hex9a92a2300

41492816640 has 972 divisors, whose sum is σ = 169253967792. Its totient is φ = 9375252480.

The previous prime is 41492816611. The next prime is 41492816663. The reversal of 41492816640 is 4661829414.

41492816640 is a `hidden beast` number, since 41 + 492 + 81 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 402842829 + ... + 402842931.

Almost surely, 241492816640 is an apocalyptic number.

41492816640 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 41492816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84626983896).

41492816640 is an abundant number, since it is smaller than the sum of its proper divisors (127761151152).

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

41492816640 is a wasteful number, since it uses less digits than its factorization.

41492816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41492816640 in words is "forty-one billion, four hundred ninety-two million, eight hundred sixteen thousand, six hundred forty".