Search a number
-
+
486286441920 = 26345113166027
BaseRepresentation
bin1110001001110001110…
…11100011110111000000
31201111012010201210010000
413010320323203313000
530431403312120140
61011221422040000
750063426361426
oct7047073436700
91644163653100
10486286441920
11178262023324
127a2b4419000
1336b19ca0776
1419771bd1116
15c9b1c31a30
hex7138ee3dc0

486286441920 has 280 divisors, whose sum is σ = 1745124956784. Its totient is φ = 128528031744.

The previous prime is 486286441867. The next prime is 486286441931. The reversal of 486286441920 is 29144682684.

It is a happy number.

486286441920 is a `hidden beast` number, since 4 + 8 + 628 + 6 + 4 + 4 + 1 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2845947 + ... + 3011973.

Almost surely, 2486286441920 is an apocalyptic number.

486286441920 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 486286441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872562478392).

486286441920 is an abundant number, since it is smaller than the sum of its proper divisors (1258838514864).

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

486286441920 is a wasteful number, since it uses less digits than its factorization.

486286441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166169 (or 166150 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 486286441920 in words is "four hundred eighty-six billion, two hundred eighty-six million, four hundred forty-one thousand, nine hundred twenty".