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16516614112 = 2517372113889
BaseRepresentation
bin11110110000111011…
…11000011111100000
31120122001220221010121
433120131320133200
5232311223122422
611330532210024
71123203621625
oct173035703740
946561827117
1016516614112
11700621a709
12324b469914
131732b0755b
14b2981034c
1566a0418c7
hex3d87787e0

16516614112 has 96 divisors (see below), whose sum is σ = 35537110560. Its totient is φ = 7524679680.

The previous prime is 16516614067. The next prime is 16516614113. The reversal of 16516614112 is 21141661561.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16516614113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4245064 + ... + 4248952.

It is an arithmetic number, because the mean of its divisors is an integer number (370178235).

Almost surely, 216516614112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16516614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768555280).

16516614112 is an abundant number, since it is smaller than the sum of its proper divisors (19020496448).

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

16516614112 is a wasteful number, since it uses less digits than its factorization.

16516614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4156 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The spelling of 16516614112 in words is "sixteen billion, five hundred sixteen million, six hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 211 272 296 422 544 592 629 844 1184 1258 1688 2516 3376 3587 3889 5032 6752 7174 7778 7807 10064 14348 15556 15614 20128 28696 31112 31228 57392 62224 62456 66113 114784 124448 124912 132226 132719 143893 249824 264452 265438 287786 528904 530876 575572 820579 1057808 1061752 1151144 1641158 2115616 2123504 2302288 2446181 3282316 4247008 4604576 4892362 6564632 9784724 13129264 13949843 19569448 26258528 27899686 30361423 39138896 55799372 60722846 78277792 111598744 121445692 223197488 242891384 446394976 485782768 516144191 971565536 1032288382 2064576764 4129153528 8258307056 16516614112