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494300532960 = 2532513234128001
BaseRepresentation
bin1110011000101101001…
…10111001000011100000
31202020212122122210021200
413030112212321003200
531044311414023320
61015024543521200
750466141130353
oct7142646710340
91666778583250
10494300532960
111806a4845563
127b9702b9200
13377c6408580
1419cd22c629a
15ccd05b2290
hex73169b90e0

494300532960 has 576 divisors, whose sum is σ = 1941836996736. Its totient is φ = 113541120000.

The previous prime is 494300532953. The next prime is 494300532961. The reversal of 494300532960 is 69235003494.

494300532960 is a `hidden beast` number, since 4 + 9 + 4 + 300 + 53 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494300532961) 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, 17638960 + ... + 17666960.

It is an arithmetic number, because the mean of its divisors is an integer number (3371244786).

Almost surely, 2494300532960 is an apocalyptic number.

494300532960 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 494300532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970918498368).

494300532960 is an abundant number, since it is smaller than the sum of its proper divisors (1447536463776).

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

494300532960 is a wasteful number, since it uses less digits than its factorization.

494300532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28099 (or 28088 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 494300532960 in words is "four hundred ninety-four billion, three hundred million, five hundred thirty-two thousand, nine hundred sixty".