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13763465216 = 2125476143
BaseRepresentation
bin11001101000101110…
…11101000000000000
31022112012101110211222
430310113131000000
5211141421341331
610153422454212
7665033344514
oct146427350000
938465343758
1013763465216
115923132146
122801434368
1313b4602377
14947d04144
155584adb7b
hex3345dd000

13763465216 has 52 divisors (see below), whose sum is σ = 27578376192. Its totient is φ = 6868033536.

The previous prime is 13763465179. The next prime is 13763465237. The reversal of 13763465216 is 61256436731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2237441 + ... + 2243583.

Almost surely, 213763465216 is an apocalyptic number.

13763465216 is a gapful number since it is divisible by the number (16) 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 13763465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789188096).

13763465216 is an abundant number, since it is smaller than the sum of its proper divisors (13814910976).

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

13763465216 is an frugal number, since it uses more digits than its factorization.

13763465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6692 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The spelling of 13763465216 in words is "thirteen billion, seven hundred sixty-three million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 547 1024 1094 2048 2188 4096 4376 6143 8752 12286 17504 24572 35008 49144 70016 98288 140032 196576 280064 393152 560128 786304 1120256 1572608 2240512 3145216 3360221 6290432 6720442 12580864 13440884 25161728 26881768 53763536 107527072 215054144 430108288 860216576 1720433152 3440866304 6881732608 13763465216