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16769368224 = 253372772713
BaseRepresentation
bin11111001111000100…
…00100000010100000
31121021200112011121000
433213202010002200
5233320424240344
611412001432000
71132363164240
oct174742040240
947250464530
1016769368224
117125964604
12330003b600
1317732a26bb
14b51205b20
1568231ba69
hex3e78840a0

16769368224 has 96 divisors (see below), whose sum is σ = 55897914240. Its totient is φ = 4791246336.

The previous prime is 16769368211. The next prime is 16769368261. The reversal of 16769368224 is 42286396761.

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 (54).

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

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 15 ways as a sum of consecutive naturals, for example, 1380309 + ... + 1392404.

It is an arithmetic number, because the mean of its divisors is an integer number (582269940).

Almost surely, 216769368224 is an apocalyptic number.

16769368224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16769368224 is an abundant number, since it is smaller than the sum of its proper divisors (39128546016).

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

16769368224 is a wasteful number, since it uses less digits than its factorization.

16769368224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772739 (or 2772725 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 16769368224 in words is "sixteen billion, seven hundred sixty-nine million, three hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 2772713 5545426 8318139 11090852 16636278 19408991 22181704 24954417 33272556 38817982 44363408 49908834 58226973 66545112 74863251 77635964 88726816 99817668 116453946 133090224 149726502 155271928 174680919 199635336 232907892 266180448 299453004 310543856 349361838 399270672 465815784 524042757 598906008 621087712 698723676 798541344 931631568 1048085514 1197812016 1397447352 1863263136 2096171028 2395624032 2794894704 4192342056 5589789408 8384684112 16769368224