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494127984000 = 273537171929157
BaseRepresentation
bin1110011000011000101…
…00101010110110000000
31202020102121222101121110
413030030110222312000
531043433230442000
61014555501323320
750461644364230
oct7141424526600
91666377871543
10494127984000
11180616401a12
127b922566540
1337799742cb1
1419cb740bcc0
15ccc037b850
hex730c52ad80

494127984000 has 2048 divisors, whose sum is σ = 2172178944000. Its totient is φ = 96613171200.

The previous prime is 494127983963. The next prime is 494127984001. The reversal of 494127984000 is 489721494.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494127984001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3147311922 + ... + 3147312078.

It is an arithmetic number, because the mean of its divisors is an integer number (1060634250).

Almost surely, 2494127984000 is an apocalyptic number.

494127984000 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 494127984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086089472000).

494127984000 is an abundant number, since it is smaller than the sum of its proper divisors (1678050960000).

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

494127984000 is a wasteful number, since it uses less digits than its factorization.

494127984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 494127984000 in words is "four hundred ninety-four billion, one hundred twenty-seven million, nine hundred eighty-four thousand".