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16443417106271 = 7312591284113933
BaseRepresentation
bin1110111101001000100000…
…0010010001011101011111
32011012222100000021200210102
43233102020002101131133
54123402104234400041
654550000155331315
73314666130152321
oct357221002213537
964188300250712
1016443417106271
11526a683306381
121a16a17150b3b
139237b8b10c7c
1440bc1942d611
151d7ae729209b
hexef48809175f

16443417106271 has 16 divisors (see below), whose sum is σ = 16684405506720. Its totient is φ = 16202858042880.

The previous prime is 16443417106231. The next prime is 16443417106279. The reversal of 16443417106271 is 17260171434461.

16443417106271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16443417106271 is a prime.

It is a super-3 number, since 3×164434171062713 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16443417106279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180170821 + ... + 1180184753.

It is an arithmetic number, because the mean of its divisors is an integer number (1042775344170).

Almost surely, 216443417106271 is an apocalyptic number.

16443417106271 is a deficient number, since it is larger than the sum of its proper divisors (240988400449).

16443417106271 is a wasteful number, since it uses less digits than its factorization.

16443417106271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28106.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 16443417106271 in words is "sixteen trillion, four hundred forty-three billion, four hundred seventeen million, one hundred six thousand, two hundred seventy-one".

Divisors: 1 73 1259 12841 13933 91907 937393 1017109 16166819 17541647 178913653 1180177787 1280540231 13060696669 225252289127 16443417106271