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16905357952 = 27718867587
BaseRepresentation
bin11111011111010001…
…10100101010000000
31121122011102011102121
433233220310222000
5234110232423302
611433300254024
71135634112610
oct175750645200
947564364377
1016905357952
1171956a770a
1233396a1314
1317955075b2
14b652c4a40
1568e22ee37
hex3efa34a80

16905357952 has 32 divisors (see below), whose sum is σ = 38489879520. Its totient is φ = 7245153024.

The previous prime is 16905357947. The next prime is 16905357961. The reversal of 16905357952 is 25975350961.

16905357952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×169053579522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16905357952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9432898 + ... + 9434689.

It is an arithmetic number, because the mean of its divisors is an integer number (1202808735).

Almost surely, 216905357952 is an apocalyptic number.

It is an amenable number.

16905357952 is an abundant number, since it is smaller than the sum of its proper divisors (21584521568).

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

16905357952 is an equidigital number, since it uses as much as digits as its factorization.

16905357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18867608 (or 18867596 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 52.

The spelling of 16905357952 in words is "sixteen billion, nine hundred five million, three hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 18867587 37735174 75470348 132073109 150940696 264146218 301881392 528292436 603762784 1056584872 1207525568 2113169744 2415051136 4226339488 8452678976 16905357952