Search a number
-
+
41642708544 = 26321075771171
BaseRepresentation
bin100110110010000110…
…010100111001000000
310222111011002202222200
4212302012110321000
51140241013133134
631044055433200
73002642116353
oct466206247100
9128434082880
1041642708544
111672a250308
1280a2085800
133c084bc958
14203081c29a
15113ad20499
hex9b2194e40

41642708544 has 168 divisors, whose sum is σ = 120788692128. Its totient is φ = 13715619840.

The previous prime is 41642708539. The next prime is 41642708551. The reversal of 41642708544 is 44580724614.

41642708544 is a `hidden beast` number, since 41 + 64 + 2 + 7 + 0 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41642708544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35561079 + ... + 35562249.

Almost surely, 241642708544 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 41642708544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60394346064).

41642708544 is an abundant number, since it is smaller than the sum of its proper divisors (79145983584).

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

41642708544 is a wasteful number, since it uses less digits than its factorization.

41642708544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 41642708544 in words is "forty-one billion, six hundred forty-two million, seven hundred eight thousand, five hundred forty-four".