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494723604960 = 253351326213361
BaseRepresentation
bin1110011001011111101…
…00110010000111100000
31202021222010202001222000
413030233310302013200
531101143220324320
61015134535444000
750512466154414
oct7145764620740
91667863661860
10494723604960
111808a1639842
127ba69b26600
1337862c67630
1419d32574d44
15cd077d1c90
hex732fd321e0

494723604960 has 384 divisors, whose sum is σ = 1865993915520. Its totient is φ = 121695436800.

The previous prime is 494723604943. The next prime is 494723604961. The reversal of 494723604960 is 69406327494.

494723604960 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 23 + 604 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 494723604897 and 494723604906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494723604961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147193680 + ... + 147197040.

It is an arithmetic number, because the mean of its divisors is an integer number (4859359155).

Almost surely, 2494723604960 is an apocalyptic number.

494723604960 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 494723604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932996957760).

494723604960 is an abundant number, since it is smaller than the sum of its proper divisors (1371270310560).

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

494723604960 is a wasteful number, since it uses less digits than its factorization.

494723604960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 494723604960 in words is "four hundred ninety-four billion, seven hundred twenty-three million, six hundred four thousand, nine hundred sixty".