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574041430116 = 2236711171011489
BaseRepresentation
bin10000101101001111000…
…10010001100001100100
32000212200221020002000000
420112213202101201210
533401114101230431
61115413324021300
756321165435160
oct10264742214144
92025627202000
10574041430116
112014a4470860
1293305391830
134219396159b
141dad8895ca0
15edeae4e9e6
hex85a7891864

574041430116 has 672 divisors, whose sum is σ = 2009316637440. Its totient is φ = 138848256000.

The previous prime is 574041430091. The next prime is 574041430141. The reversal of 574041430116 is 611034140475.

574041430116 is a `hidden beast` number, since 5 + 74 + 0 + 41 + 430 + 116 = 666.

It is an interprime number because it is at equal distance from previous prime (574041430091) and next prime (574041430141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 385520700 + ... + 385522188.

It is an arithmetic number, because the mean of its divisors is an integer number (2990054520).

Almost surely, 2574041430116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574041430116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004658318720).

574041430116 is an abundant number, since it is smaller than the sum of its proper divisors (1435275207324).

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

574041430116 is a wasteful number, since it uses less digits than its factorization.

574041430116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 574041430116 in words is "five hundred seventy-four billion, forty-one million, four hundred thirty thousand, one hundred sixteen".