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498988068480 = 2732511192914293
BaseRepresentation
bin1110100001011100000…
…00011010111010000000
31202200222100002021011100
413100232000122322000
531133411421142410
61021122034014400
751023250412566
oct7205600327200
91680870067140
10498988068480
1118268a835360
128085a117400
13380925c3b25
141a218a8ba36
15cea6d968c0
hex742e01ae80

498988068480 has 768 divisors, whose sum is σ = 2047015152000. Its totient is φ = 110640660480.

The previous prime is 498988068419. The next prime is 498988068487. The reversal of 498988068480 is 84860889894.

498988068480 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 8 + 80 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 498988068399 and 498988068408.

It is not an unprimeable number, because it can be changed into a prime (498988068487) 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, 34904214 + ... + 34918506.

Almost surely, 2498988068480 is an apocalyptic number.

498988068480 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 498988068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023507576000).

498988068480 is an abundant number, since it is smaller than the sum of its proper divisors (1548027083520).

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

498988068480 is a wasteful number, since it uses less digits than its factorization.

498988068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377 (or 14362 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 498988068480 in words is "four hundred ninety-eight billion, nine hundred eighty-eight million, sixty-eight thousand, four hundred eighty".