Search a number
-
+
46927269648 = 243672919819
BaseRepresentation
bin101011101101000101…
…010100111100010000
311111010102221022000000
4223231011110330100
51232101340112043
633320314130000
73250621132140
oct535505247420
9144112838000
1046927269648
11189a1247286
129117a20900
13456b2a1c9c
1423b25d4920
151349c362d3
hexaed154f10

46927269648 has 280 divisors, whose sum is σ = 161174654400. Its totient is φ = 12944800512.

The previous prime is 46927269647. The next prime is 46927269661. The reversal of 46927269648 is 84696272964.

46927269648 is a `hidden beast` number, since 469 + 2 + 72 + 69 + 6 + 48 = 666.

It is a super-2 number, since 2×469272696482 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46927269647) 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 55 ways as a sum of consecutive naturals, for example, 2357883 + ... + 2377701.

Almost surely, 246927269648 is an apocalyptic number.

46927269648 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 46927269648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80587327200).

46927269648 is an abundant number, since it is smaller than the sum of its proper divisors (114247384752).

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

46927269648 is a wasteful number, since it uses less digits than its factorization.

46927269648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19881 (or 19860 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 46927269648 in words is "forty-six billion, nine hundred twenty-seven million, two hundred sixty-nine thousand, six hundred forty-eight".