Search a number
-
+
41501795076 = 2232719127131521
BaseRepresentation
bin100110101001101100…
…110010001100000100
310222010022221122001100
4212221230302030010
51134443424420301
631022103300100
72666311303050
oct465154621404
9128108848040
1041501795076
11166677549a5
128062a4a630
133bb52528c1
142019c1ac60
15112d788286
hex9a9b32304

41501795076 has 288 divisors, whose sum is σ = 128415006720. Its totient is φ = 11038809600.

The previous prime is 41501795053. The next prime is 41501795089. The reversal of 41501795076 is 67059710514.

41501795076 is a `hidden beast` number, since 4 + 1 + 501 + 79 + 5 + 0 + 76 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79657696 + ... + 79658216.

It is an arithmetic number, because the mean of its divisors is an integer number (445885440).

Almost surely, 241501795076 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 41501795076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64207503360).

41501795076 is an abundant number, since it is smaller than the sum of its proper divisors (86913211644).

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

41501795076 is a wasteful number, since it uses less digits than its factorization.

41501795076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 41501795076 in words is "forty-one billion, five hundred one million, seven hundred ninety-five thousand, seventy-six".