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494069378880 = 2635711171920693
BaseRepresentation
bin1110011000010001101…
…01000110111101000000
31202020021112200221111110
413030020311012331000
531043323230111010
61014550005243320
750460333266640
oct7141065067500
91666245627443
10494069378880
11180596314030
127b906a03540
133778a563bcc
1419cad714520
15ccba152120
hex7308d46f40

494069378880 has 896 divisors, whose sum is σ = 2179882782720. Its totient is φ = 91534786560.

The previous prime is 494069378879. The next prime is 494069378893. The reversal of 494069378880 is 88873960494.

It is a super-2 number, since 2×4940693788802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23865814 + ... + 23886506.

Almost surely, 2494069378880 is an apocalyptic number.

494069378880 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 494069378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089941391360).

494069378880 is an abundant number, since it is smaller than the sum of its proper divisors (1685813403840).

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

494069378880 is a wasteful number, since it uses less digits than its factorization.

494069378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767 (or 20757 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 494069378880 in words is "four hundred ninety-four billion, sixty-nine million, three hundred seventy-eight thousand, eight hundred eighty".