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16164055776 = 2531115306871
BaseRepresentation
bin11110000110111001…
…11110101011100000
31112201111112010000110
433003130332223200
5231100444241101
611231535451320
71111363131021
oct170334765340
945644463013
1016164055776
116945208390
123171386b40
1316a7a66a5b
14ad4a78c48
156490eecd6
hex3c373eae0

16164055776 has 48 divisors (see below), whose sum is σ = 46287980928. Its totient is φ = 4898198400.

The previous prime is 16164055729. The next prime is 16164055799. The reversal of 16164055776 is 67755046161.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×161640557762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7652380 + ... + 7654491.

It is an arithmetic number, because the mean of its divisors is an integer number (964332936).

Almost surely, 216164055776 is an apocalyptic number.

16164055776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16164055776 is an abundant number, since it is smaller than the sum of its proper divisors (30123925152).

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

16164055776 is a wasteful number, since it uses less digits than its factorization.

16164055776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306895 (or 15306887 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 16164055776 in words is "sixteen billion, one hundred sixty-four million, fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 15306871 30613742 45920613 61227484 91841226 122454968 168375581 183682452 244909936 336751162 367364904 489819872 505126743 673502324 734729808 1010253486 1347004648 1469459616 2020506972 2694009296 4041013944 5388018592 8082027888 16164055776