Search a number
-
+
46872483840 = 21137571323
BaseRepresentation
bin101011101001110100…
…010101100000000000
311110222121211220000000
4223221310111200000
51231443323440330
633311040000000
73246354352560
oct535164254000
9143877756000
1046872483840
1118973327956
129101600000
13455cb2c450
1423a9212da0
151345013560
hexae9d15800

46872483840 has 1536 divisors, whose sum is σ = 216624844800. Its totient is φ = 9459597312.

The previous prime is 46872483799. The next prime is 46872483841. The reversal of 46872483840 is 4838427864.

It is a happy number.

46872483840 is a `hidden beast` number, since 4 + 6 + 87 + 2 + 483 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×468724838402 (a number of 22 digits) contains 22 as substring.

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 (46872483841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037934069 + ... + 2037934091.

It is an arithmetic number, because the mean of its divisors is an integer number (141031800).

Almost surely, 246872483840 is an apocalyptic number.

46872483840 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 46872483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108312422400).

46872483840 is an abundant number, since it is smaller than the sum of its proper divisors (169752360960).

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

46872483840 is an equidigital number, since it uses as much as digits as its factorization.

46872483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 46872483840 in words is "forty-six billion, eight hundred seventy-two million, four hundred eighty-three thousand, eight hundred forty".