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16429622692461 = 3113750359267199
BaseRepresentation
bin1110111100010101000111…
…0100110000101001101101
32011011122201122122212110020
43233011101310300221231
54123140331402124321
654535355305232353
73314000236445406
oct357052164605155
964148648585406
1016429622692461
115264844766090
121a142074926b9
139223cac93c34
1440b2ab3909ad
151d758b21d4c6
hexef151d30a6d

16429622692461 has 32 divisors (see below), whose sum is σ = 24544094208000. Its totient is φ = 9688000956480.

The previous prime is 16429622692433. The next prime is 16429622692529.

It is a happy number.

16429622692461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16429622692461 - 235 = 16395262954093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16429622692395 and 16429622692404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16429622692411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 61354740 + ... + 61621938.

It is an arithmetic number, because the mean of its divisors is an integer number (767002944000).

Almost surely, 216429622692461 is an apocalyptic number.

16429622692461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16429622692461 is a deficient number, since it is larger than the sum of its proper divisors (8114471515539).

16429622692461 is a wasteful number, since it uses less digits than its factorization.

16429622692461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317609.

The product of its digits is 26873856, while the sum is 60.

The spelling of 16429622692461 in words is "sixteen trillion, four hundred twenty-nine billion, six hundred twenty-two million, six hundred ninety-two thousand, four hundred sixty-one".

Divisors: 1 3 11 33 37 111 407 1221 50359 151077 267199 553949 801597 1661847 1863283 2939189 5589849 8817567 9886363 20496113 29659089 61488339 108749993 326249979 13455874441 40367623323 148014618851 444043856553 497867354317 1493602062951 5476540897487 16429622692461