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16436502142434 = 232111729612760371
BaseRepresentation
bin1110111100101110101111…
…0111110001110111100010
32011012022111002120010200200
43233023223313301313202
54123243424022024214
654542454055530030
73314332563013023
oct357135367616742
964168432503620
1016436502142434
115267754a62730
121a15607389916
13922c5630c7aa
1440b760ccac4a
151d7840173d09
hexef2ebdf1de2

16436502142434 has 192 divisors, whose sum is σ = 43251275134080. Its totient is φ = 4451924736000.

The previous prime is 16436502142331. The next prime is 16436502142439. The reversal of 16436502142434 is 43424120563461.

16436502142434 is a `hidden beast` number, since 1 + 64 + 3 + 6 + 502 + 1 + 42 + 43 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16436502142434.

It is not an unprimeable number, because it can be changed into a prime (16436502142439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4574269 + ... + 7334639.

It is an arithmetic number, because the mean of its divisors is an integer number (225267057990).

Almost surely, 216436502142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16436502142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625637567040).

16436502142434 is an abundant number, since it is smaller than the sum of its proper divisors (26814772991646).

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

16436502142434 is a wasteful number, since it uses less digits than its factorization.

16436502142434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760497 (or 2760494 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 16436502142434 in words is "sixteen trillion, four hundred thirty-six billion, five hundred two million, one hundred forty-two thousand, four hundred thirty-four".