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486088992480 = 253572133151283
BaseRepresentation
bin1110001001011010010…
…10010110011011100000
31201110200101012022101210
413010231022112123200
530431002240224410
61011150050030120
750055511156200
oct7045512263340
91643611168353
10486088992480
11178170622673
127a25a278340
1336ab80ca390
14197538b4400
15c99e72d220
hex712d2966e0

486088992480 has 576 divisors, whose sum is σ = 1980097394688. Its totient is φ = 99249131520.

The previous prime is 486088992457. The next prime is 486088992481. The reversal of 486088992480 is 84299880684.

It is a happy number.

It is a super-2 number, since 2×4860889924802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486088992481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9452919 + ... + 9504201.

It is an arithmetic number, because the mean of its divisors is an integer number (3437669088).

Almost surely, 2486088992480 is an apocalyptic number.

486088992480 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 486088992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990048697344).

486088992480 is an abundant number, since it is smaller than the sum of its proper divisors (1494008402208).

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

486088992480 is a wasteful number, since it uses less digits than its factorization.

486088992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51359 (or 51344 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 66.

The spelling of 486088992480 in words is "four hundred eighty-six billion, eighty-eight million, nine hundred ninety-two thousand, four hundred eighty".