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494557617120 = 253573161277281
BaseRepresentation
bin1110011001001011110…
…11100101101111100000
31202021112120102000110020
413030211323211233200
531100323222221440
61015110250033440
750505412246020
oct7144573455740
91667476360406
10494557617120
11180816977706
127ba22418880
133783775b588
1419d184c7a80
15cce7e453d0
hex7325ee5be0

494557617120 has 768 divisors, whose sum is σ = 1881383583744. Its totient is φ = 106831872000.

The previous prime is 494557617101. The next prime is 494557617121. The reversal of 494557617120 is 21716755494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494557617121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1759991380 + ... + 1759991660.

It is an arithmetic number, because the mean of its divisors is an integer number (2449718208).

Almost surely, 2494557617120 is an apocalyptic number.

494557617120 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 494557617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940691791872).

494557617120 is an abundant number, since it is smaller than the sum of its proper divisors (1386825966624).

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

494557617120 is a wasteful number, since it uses less digits than its factorization.

494557617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 494557617120 in words is "four hundred ninety-four billion, five hundred fifty-seven million, six hundred seventeen thousand, one hundred twenty".