Search a number
-
+
40899575808 = 21733713127
BaseRepresentation
bin100110000101110011…
…100000000000000000
310220120100202201112000
4212011303200000000
51132230242411213
630442231504000
72645346441540
oct460563400000
9126510681460
1040899575808
1116388820723
127b15228000
133b1a55ab40
141d9dc57320
1510e597cc73
hex985ce0000

40899575808 has 576 divisors, whose sum is σ = 150323281920. Its totient is φ = 10701766656.

The previous prime is 40899575803. The next prime is 40899575863. The reversal of 40899575808 is 80857599804.

It is a happy number.

40899575808 is a `hidden beast` number, since 40 + 8 + 9 + 9 + 5 + 7 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40899575803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322043841 + ... + 322043967.

It is an arithmetic number, because the mean of its divisors is an integer number (260977920).

Almost surely, 240899575808 is an apocalyptic number.

40899575808 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 40899575808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75161640960).

40899575808 is an abundant number, since it is smaller than the sum of its proper divisors (109423706112).

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

40899575808 is an equidigital number, since it uses as much as digits as its factorization.

40899575808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 40899575808 in words is "forty billion, eight hundred ninety-nine million, five hundred seventy-five thousand, eight hundred eight".