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16121435064 = 2337106989767
BaseRepresentation
bin11110000001110100…
…11001001110111000
31112121112022202101120
433000322121032320
5231004041410224
611223414145240
71110334636260
oct170072311670
945545282346
1016121435064
116923147859
12315b052220
13169bc933b7
14acd1427a0
156454d1779
hex3c0e993b8

16121435064 has 64 divisors (see below), whose sum is σ = 46104844800. Its totient is φ = 4601764224.

The previous prime is 16121435063. The next prime is 16121435093. The reversal of 16121435064 is 46053412161.

16121435064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121435063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134709 + ... + 224475.

It is an arithmetic number, because the mean of its divisors is an integer number (720388200).

Almost surely, 216121435064 is an apocalyptic number.

16121435064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16121435064 is an abundant number, since it is smaller than the sum of its proper divisors (29983409736).

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

16121435064 is a wasteful number, since it uses less digits than its factorization.

16121435064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90852 (or 90848 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 16121435064 in words is "sixteen billion, one hundred twenty-one million, four hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1069 2138 3207 4276 6414 7483 8552 12828 14966 22449 25656 29932 44898 59864 89767 89796 179534 179592 269301 359068 538602 628369 718136 1077204 1256738 1885107 2154408 2513476 3770214 5026952 7540428 15080856 95960923 191921846 287882769 383843692 575765538 671726461 767687384 1151531076 1343452922 2015179383 2303062152 2686905844 4030358766 5373811688 8060717532 16121435064