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16435666136131 = 1147671792650751
BaseRepresentation
bin1110111100101011101000…
…0010101010110001000011
32011012020022211110121122021
43233022322002222301003
54123240221012324011
654542235113222311
73314303062043614
oct357127202526103
964166284417567
1016435666136131
115267366069830
121a15413401997
13922b52060ac8
1440b6c1c6bc0b
151d77e1a88471
hexef2ba0aac43

16435666136131 has 32 divisors (see below), whose sum is σ = 18688437780480. Its totient is φ = 14324865060000.

The previous prime is 16435666136059. The next prime is 16435666136203. The reversal of 16435666136131 is 13163166653461.

16435666136131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16435666136059) and next prime (16435666136203).

It is not a de Polignac number, because 16435666136131 - 219 = 16435665611843 is a prime.

It is a super-3 number, since 3×164356661361313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16435666136531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4875006 + ... + 7525756.

It is an arithmetic number, because the mean of its divisors is an integer number (584013680640).

Almost surely, 216435666136131 is an apocalyptic number.

16435666136131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16435666136131 is a deficient number, since it is larger than the sum of its proper divisors (2252771644349).

16435666136131 is a wasteful number, since it uses less digits than its factorization.

16435666136131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651055.

The product of its digits is 4199040, while the sum is 52.

The spelling of 16435666136131 in words is "sixteen trillion, four hundred thirty-five billion, six hundred sixty-six million, one hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 11 47 67 179 517 737 1969 3149 8413 11993 34639 92543 131923 563671 2650751 6200381 29158261 124585297 177600317 474484429 1370438267 1953603487 5219328719 8347214899 22300768163 31790456743 91819363889 245308449793 349695024173 1494151466921 16435666136131