Search a number
-
+
487416061440 = 29345741189
BaseRepresentation
bin1110001011111000100…
…00101101111000000000
31201121002212022101210000
413011330100231320000
530441212002431230
61011525453440000
750133424110000
oct7057420557000
91647085271700
10487416061440
11178791729180
127a56a7a0000
1336c6a022199
141983bc40000
15ca2aeb8b60
hex717c42de00

487416061440 has 2000 divisors, whose sum is σ = 2246720865840. Its totient is φ = 100143267840.

The previous prime is 487416061439. The next prime is 487416061441. The reversal of 487416061440 is 44160614784.

487416061440 is a `hidden beast` number, since 48 + 7 + 4 + 160 + 6 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (487416061439) and next prime (487416061441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487416061441) 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 199 ways as a sum of consecutive naturals, for example, 5476584916 + ... + 5476585004.

Almost surely, 2487416061440 is an apocalyptic number.

487416061440 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 487416061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123360432920).

487416061440 is an abundant number, since it is smaller than the sum of its proper divisors (1759304804400).

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

487416061440 is an frugal number, since it uses more digits than its factorization.

487416061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 487416061440 in words is "four hundred eighty-seven billion, four hundred sixteen million, sixty-one thousand, four hundred forty".