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180971342643 = 37213226992
BaseRepresentation
bin1010100010001010111…
…0111000101100110011
3122022010012111201212010
42220202232320230303
510431112130431033
6215045335534003
716034432013600
oct2504256705463
9568105451763
10180971342643
116a8276722a3
122b0a6b2a303
13140b0c59900
148a8ac076a7
154a92b28863
hex2a22bb8b33

180971342643 has 54 divisors (see below), whose sum is σ = 304055346924. Its totient is φ = 95422043808.

The previous prime is 180971342641. The next prime is 180971342677. The reversal of 180971342643 is 346243179081.

180971342643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180971342643 - 21 = 180971342641 is a prime.

It is a super-2 number, since 2×1809713426432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180971342592 and 180971342601.

It is not an unprimeable number, because it can be changed into a prime (180971342641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 67049908 + ... + 67052606.

Almost surely, 2180971342643 is an apocalyptic number.

180971342643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

180971342643 is a deficient number, since it is larger than the sum of its proper divisors (123084004281).

180971342643 is an frugal number, since it uses more digits than its factorization.

180971342643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

Multiplying 180971342643 by its sum of digits (48), we get a square (8686624446864 = 29473082).

The spelling of 180971342643 in words is "one hundred eighty billion, nine hundred seventy-one million, three hundred forty-two thousand, six hundred forty-three".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 2699 3549 8097 8281 18893 24843 35087 56679 105261 132251 245609 396753 456131 736827 1368393 1719263 3192917 5157789 7284601 9578751 21853803 22350419 50992207 67051257 94699813 152976621 284099439 356945449 662898691 1070836347 1231097569 1988696073 3693292707 4640290837 8617682983 13920872511 25853048949 60323780881 180971342643