Search a number
-
+
41650495488 = 213357361
BaseRepresentation
bin100110110010100100…
…000010000000000000
310222111200202101200000
4212302210002000000
51140300011323423
631044534400000
73003065241000
oct466244020000
9128450671600
1041650495488
11167336897a8
1280a4800000
133c09cb8104
142031888000
15113b85c843
hex9b2902000

41650495488 has 672 divisors, whose sum is σ = 147892617600. Its totient is φ = 11705057280.

The previous prime is 41650495483. The next prime is 41650495511. The reversal of 41650495488 is 88459405614.

41650495488 is a `hidden beast` number, since 4 + 1 + 6 + 50 + 49 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41650495483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682794978 + ... + 682795038.

It is an arithmetic number, because the mean of its divisors is an integer number (220078300).

Almost surely, 241650495488 is an apocalyptic number.

41650495488 is a gapful number since it is divisible by the number (48) 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 41650495488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73946308800).

41650495488 is an abundant number, since it is smaller than the sum of its proper divisors (106242122112).

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

41650495488 is an frugal number, since it uses more digits than its factorization.

41650495488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 41650495488 in words is "forty-one billion, six hundred fifty million, four hundred ninety-five thousand, four hundred eighty-eight".