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16079747832 = 23334315711027
BaseRepresentation
bin11101111100110110…
…10111101011111000
31112111121212211021000
432332123113223320
5230412403412312
611215324445000
71106320413201
oct167633275370
945447784230
1016079747832
1169016645a5
1231490a9760
1316934588b5
14ac77b05a8
156419e9adc
hex3be6d7af8

16079747832 has 128 divisors (see below), whose sum is σ = 45999993600. Its totient is φ = 5201449344.

The previous prime is 16079747813. The next prime is 16079747843. The reversal of 16079747832 is 23874797061.

16079747832 is a `hidden beast` number, since 160 + 7 + 9 + 7 + 478 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452703 + ... + 1463729.

It is an arithmetic number, because the mean of its divisors is an integer number (359374950).

Almost surely, 216079747832 is an apocalyptic number.

16079747832 is a gapful number since it is divisible by the number (12) 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 16079747832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999996800).

16079747832 is an abundant number, since it is smaller than the sum of its proper divisors (29920245768).

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

16079747832 is a wasteful number, since it uses less digits than its factorization.

16079747832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 16079747832 in words is "sixteen billion, seventy-nine million, seven hundred forty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 157 172 216 258 314 344 387 471 516 628 774 942 1032 1161 1256 1413 1548 1884 2322 2826 3096 3768 4239 4644 5652 6751 8478 9288 11027 11304 13502 16956 20253 22054 27004 33081 33912 40506 44108 54008 60759 66162 81012 88216 99243 121518 132324 162024 182277 198486 243036 264648 297729 364554 396972 474161 486072 595458 729108 793944 948322 1190916 1422483 1458216 1731239 1896644 2381832 2844966 3462478 3793288 4267449 5193717 5689932 6924956 8534898 10387434 11379864 12802347 13849912 15581151 17069796 20774868 25604694 31162302 34139592 41549736 46743453 51209388 62324604 74443277 93486906 102418776 124649208 148886554 186973812 223329831 297773108 373947624 446659662 595546216 669989493 893319324 1339978986 1786638648 2009968479 2679957972 4019936958 5359915944 8039873916 16079747832