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494146153872 = 243271731237811
BaseRepresentation
bin1110011000011010110…
…01111110110110010000
31202020110220011111222200
413030031121332312100
531044002403410442
61015001351003200
750462255001510
oct7141531766620
91666426144880
10494146153872
11180625692238
127b928669500
13377a04353b7
1419cb99bb840
15ccc1c6a34c
hex730d67ed90

494146153872 has 720 divisors, whose sum is σ = 1778100944256. Its totient is φ = 124963430400.

The previous prime is 494146153811. The next prime is 494146153927. The reversal of 494146153872 is 278351641494.

494146153872 is a `hidden beast` number, since 4 + 9 + 4 + 14 + 615 + 3 + 8 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 609304347 + ... + 609305157.

Almost surely, 2494146153872 is an apocalyptic number.

494146153872 is a gapful number since it is divisible by the number (42) 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 494146153872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889050472128).

494146153872 is an abundant number, since it is smaller than the sum of its proper divisors (1283954790384).

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

494146153872 is a wasteful number, since it uses less digits than its factorization.

494146153872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 908 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 494146153872 in words is "four hundred ninety-four billion, one hundred forty-six million, one hundred fifty-three thousand, eight hundred seventy-two".