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16126004026242 = 23211116639698261
BaseRepresentation
bin1110101010101010000010…
…1111011101101110000010
32010002122000221120112212100
43222222200233131232002
54103202024012314432
654144103423411230
73253031261405535
oct352524057355602
963078027515770
1016126004026242
115157aaa961350
1219853b2153b16
138cc8a254ac16
143da707800a1c
151ce71b01207c
hexeaaa0bddb82

16126004026242 has 48 divisors (see below), whose sum is σ = 38116390890240. Its totient is φ = 4886618992800.

The previous prime is 16126004026213. The next prime is 16126004026259. The reversal of 16126004026242 is 24262040062161.

16126004026242 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 6 + 0 + 0 + 402 + 6 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16126004026197 and 16126004026206.

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 23 ways as a sum of consecutive naturals, for example, 22745392 + ... + 23443652.

It is an arithmetic number, because the mean of its divisors is an integer number (794091476880).

Almost surely, 216126004026242 is an apocalyptic number.

16126004026242 is an abundant number, since it is smaller than the sum of its proper divisors (21990386863998).

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

16126004026242 is a wasteful number, since it uses less digits than its factorization.

16126004026242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814919 (or 814916 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16126004026242 in words is "sixteen trillion, one hundred twenty-six billion, four million, twenty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 116639 233278 349917 698261 699834 1049751 1283029 1396522 2094783 2099502 2566058 3849087 4189566 6284349 7680871 7698174 11547261 12568698 15361742 23042613 23094522 46085226 69127839 138255678 81444464779 162888929558 244333394337 488666788674 733000183011 895889112569 1466000366022 1791778225138 2687667337707 5375334675414 8063002013121 16126004026242