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4149718108074 = 23471123311134129
BaseRepresentation
bin111100011000101110011…
…110010100011110101010
3112200201010222201121210000
4330120232132110132222
51020442110313424244
612454204300403430
7605543611634040
oct74305636243652
915621128647700
104149718108074
11135a981764190
125702b0246576
13241416b4a326
14104bc14b2390
1572e24e56169
hex3c62e7947aa

4149718108074 has 640 divisors, whose sum is σ = 12600679956480. Its totient is φ = 988659302400.

The previous prime is 4149718108073. The next prime is 4149718108121. The reversal of 4149718108074 is 4708018179414.

4149718108074 is a `hidden beast` number, since 4 + 1 + 497 + 1 + 8 + 1 + 0 + 80 + 74 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4149718108074.

It is not an unprimeable number, because it can be changed into a prime (4149718108073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1005015642 + ... + 1005019770.

It is an arithmetic number, because the mean of its divisors is an integer number (19688562432).

Almost surely, 24149718108074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149718108074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300339978240).

4149718108074 is an abundant number, since it is smaller than the sum of its proper divisors (8450961848406).

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

4149718108074 is a wasteful number, since it uses less digits than its factorization.

4149718108074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 4149718108074 in words is "four trillion, one hundred forty-nine billion, seven hundred eighteen million, one hundred eight thousand, seventy-four".