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16929823872 = 273137942929
BaseRepresentation
bin11111100010001100…
…01001110010000000
31121200212110011100210
433301012021302000
5234133013330442
611435532514120
71136352062043
oct176106116200
947625404323
1016929823872
1171a8498285
12334591b940
13179a5c2680
14b68652c5a
1569146419c
hex3f1189c80

16929823872 has 128 divisors (see below), whose sum is σ = 49043232000. Its totient is φ = 5143117824.

The previous prime is 16929823787. The next prime is 16929823891. The reversal of 16929823872 is 27832892961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 372904 + ... + 415832.

It is an arithmetic number, because the mean of its divisors is an integer number (383150250).

Almost surely, 216929823872 is an apocalyptic number.

16929823872 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 16929823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521616000).

16929823872 is an abundant number, since it is smaller than the sum of its proper divisors (32113408128).

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

16929823872 is a wasteful number, since it uses less digits than its factorization.

16929823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43038 (or 43026 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 16929823872 in words is "sixteen billion, nine hundred twenty-nine million, eight hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3792 4108 4992 5056 6162 7584 8216 10112 12324 15168 16432 24648 30336 32864 42929 49296 65728 85858 98592 128787 131456 171716 197184 257574 343432 394368 515148 558077 686864 1030296 1116154 1373728 1674231 2060592 2232308 2747456 3348462 3391391 4121184 4464616 5494912 6696924 6782782 8242368 8929232 10174173 13393848 13565564 16484736 17858464 20348346 26787696 27131128 35716928 40696692 44088083 53575392 54262256 71433856 81393384 88176166 107150784 108524512 132264249 162786768 176352332 214301568 217049024 264528498 325573536 352704664 434098048 529056996 651147072 705409328 1058113992 1302294144 1410818656 2116227984 2821637312 4232455968 5643274624 8464911936 16929823872