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16434113116644 = 2233501113036613
BaseRepresentation
bin1110111100100101110101…
…1110010111100111100100
32011012002022121012001102000
43233021131132113213210
54123224030424213034
654541421034445300
73314216433434166
oct357113536274744
964162277161360
1016434113116644
115266739466253
121a1505b293830
13922965396c72
1440b5b58c6936
151d7750569599
hexef25d7979e4

16434113116644 has 48 divisors (see below), whose sum is σ = 42607824215040. Its totient is φ = 5477926583520.

The previous prime is 16434113116591. The next prime is 16434113116697. The reversal of 16434113116644 is 44661131143461.

16434113116644 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 411 + 31 + 166 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (16434113116591) and next prime (16434113116697).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16434113116644.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893682 + ... + 6930294.

It is an arithmetic number, because the mean of its divisors is an integer number (887663004480).

Almost surely, 216434113116644 is an apocalyptic number.

It is an amenable number.

16434113116644 is an abundant number, since it is smaller than the sum of its proper divisors (26173711098396).

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

16434113116644 is a wasteful number, since it uses less digits than its factorization.

16434113116644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086737 (or 3086729 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 16434113116644 in words is "sixteen trillion, four hundred thirty-four billion, one hundred thirteen million, one hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 50111 100222 150333 200444 300666 450999 601332 901998 1352997 1803996 2705994 3036613 5411988 6073226 9109839 12146452 18219678 27329517 36439356 54659034 81988551 109318068 163977102 327954204 152167714043 304335428086 456503142129 608670856172 913006284258 1369509426387 1826012568516 2739018852774 4108528279161 5478037705548 8217056558322 16434113116644