Search a number
-
+
40496863680 = 263557135997
BaseRepresentation
bin100101101101110011…
…010001100111000000
310212112021222211100000
4211231303101213000
51130414144114210
630334244200000
72632356442650
oct455563214700
9125467884300
1040496863680
11161a1473089
127a22399000
133a84ca9c40
141d62588360
1510c0430ac0
hex96dcd19c0

40496863680 has 1344 divisors, whose sum is σ = 182663470080. Its totient is φ = 8312979456.

The previous prime is 40496863679. The next prime is 40496863681. The reversal of 40496863680 is 8636869404.

40496863680 is a `hidden beast` number, since 40 + 496 + 8 + 6 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40496863679) and next prime (40496863681).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40496863681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417493392 + ... + 417493488.

It is an arithmetic number, because the mean of its divisors is an integer number (135910320).

Almost surely, 240496863680 is an apocalyptic number.

40496863680 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 40496863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91331735040).

40496863680 is an abundant number, since it is smaller than the sum of its proper divisors (142166606400).

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

40496863680 is a wasteful number, since it uses less digits than its factorization.

40496863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 40496863680 in words is "forty billion, four hundred ninety-six million, eight hundred sixty-three thousand, six hundred eighty".