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16103026016 = 2572112833299
BaseRepresentation
bin11101111111101000…
…01010110101100000
31112120020200110220222
432333310022311200
5230434333313031
611221515422212
71110022314500
oct167764126540
945506613828
1016103026016
116913813870
123154a54968
13169821917c
14aca90da00
15643a96e7b
hex3bfd0ad60

16103026016 has 144 divisors (see below), whose sum is σ = 40385822400. Its totient is φ = 6249841920.

The previous prime is 16103026007. The next prime is 16103026021. The reversal of 16103026016 is 61062030161.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4879535 + ... + 4882833.

It is an arithmetic number, because the mean of its divisors is an integer number (280457100).

Almost surely, 216103026016 is an apocalyptic number.

16103026016 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 16103026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192911200).

16103026016 is an abundant number, since it is smaller than the sum of its proper divisors (24282796384).

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

16103026016 is a wasteful number, since it uses less digits than its factorization.

16103026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 16103026016 its reverse (61062030161), we get a palindrome (77165056177).

The spelling of 16103026016 in words is "sixteen billion, one hundred three million, twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 283 308 352 392 539 566 616 784 1078 1132 1232 1568 1981 2156 2264 2464 3113 3299 3962 4312 4528 6226 6598 7924 8624 9056 12452 13196 13867 15848 17248 21791 23093 24904 26392 27734 31696 36289 43582 46186 49808 52784 55468 63392 72578 87164 92372 99616 105568 110936 145156 152537 161651 174328 184744 221872 254023 290312 305074 323302 348656 369488 443744 508046 580624 610148 646604 697312 738976 933617 1016092 1161248 1220296 1293208 1778161 1867234 2032184 2440592 2586416 3556322 3734468 4064368 4881184 5172832 6535319 7112644 7468936 8128736 10269787 13070638 14225288 14937872 20539574 26141276 28450576 29875744 41079148 45747233 52282552 56901152 71888509 82158296 91494466 104565104 143777018 164316592 182988932 209130208 287554036 328633184 365977864 503219563 575108072 731955728 1006439126 1150216144 1463911456 2012878252 2300432288 4025756504 8051513008 16103026016