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16827069216 = 2535312726041
BaseRepresentation
bin11111010101111100…
…01011001100100000
31121102201002200110210
433222332023030200
5233430212203331
611421422254120
71133663504556
oct175276131440
947381080423
1016827069216
117155495181
123317427340
1317822260b9
14b58b45bd6
15687418446
hex3eaf8b320

16827069216 has 96 divisors (see below), whose sum is σ = 45360580608. Its totient is φ = 5459650560.

The previous prime is 16827069209. The next prime is 16827069223. The reversal of 16827069216 is 61296072861.

It is an interprime number because it is at equal distance from previous prime (16827069209) and next prime (16827069223).

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 633156 + ... + 659196.

It is an arithmetic number, because the mean of its divisors is an integer number (472506048).

Almost surely, 216827069216 is an apocalyptic number.

16827069216 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 16827069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680290304).

16827069216 is an abundant number, since it is smaller than the sum of its proper divisors (28533511392).

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

16827069216 is a wasteful number, since it uses less digits than its factorization.

16827069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26234 (or 26226 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 16827069216 in words is "sixteen billion, eight hundred twenty-seven million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 127 159 212 254 318 381 424 508 636 762 848 1016 1272 1524 1696 2032 2544 3048 4064 5088 6096 6731 12192 13462 20193 26041 26924 40386 52082 53848 78123 80772 104164 107696 156246 161544 208328 215392 312492 323088 416656 624984 646176 833312 1249968 1380173 2499936 2760346 3307207 4140519 5520692 6614414 8281038 9921621 11041384 13228828 16562076 19843242 22082768 26457656 33124152 39686484 44165536 52915312 66248304 79372968 105830624 132496608 158745936 175281971 317491872 350563942 525845913 701127884 1051691826 1402255768 2103383652 2804511536 4206767304 5609023072 8413534608 16827069216