Search a number
-
+
486351963000 = 233253173141261
BaseRepresentation
bin1110001001111001101…
…01100000001101111000
31201111100201000121010200
413010330311200031320
530432022100304000
61011232122242200
750065153322121
oct7047465401570
91644321017120
10486351963000
11178296005282
127a312356360
1336b2a731737
141977a7a9048
15c9b7875500
hex713cd60378

486351963000 has 1152 divisors, whose sum is σ = 1871796625920. Its totient is φ = 113356800000.

The previous prime is 486351962897. The next prime is 486351963007. The reversal of 486351963000 is 369153684.

486351963000 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 5 + 1 + 9 + 630 + 0 + 0 = 666.

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 (486351963007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7972982970 + ... + 7972983030.

It is an arithmetic number, because the mean of its divisors is an integer number (1624823460).

Almost surely, 2486351963000 is an apocalyptic number.

486351963000 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 486351963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935898312960).

486351963000 is an abundant number, since it is smaller than the sum of its proper divisors (1385444662920).

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

486351963000 is a wasteful number, since it uses less digits than its factorization.

486351963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 486351963000 in words is "four hundred eighty-six billion, three hundred fifty-one million, nine hundred sixty-three thousand".