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12164157775 = 5271123416701
BaseRepresentation
bin10110101010000101…
…00101000101001111
31011101202000020111001
423111002211011033
5144403011022100
65331012041131
7610303430560
oct132502450517
934352006431
1012164157775
115182393860
1224359031a7
1311bb17c8c3
14835750167
154b2d99d6a
hex2d50a514f

12164157775 has 96 divisors (see below), whose sum is σ = 20104713216. Its totient is φ = 7075200000.

The previous prime is 12164157773. The next prime is 12164157787. The reversal of 12164157775 is 57775146121.

It is not a de Polignac number, because 12164157775 - 21 = 12164157773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164157773) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811925 + ... + 1818625.

It is an arithmetic number, because the mean of its divisors is an integer number (209424096).

Almost surely, 212164157775 is an apocalyptic number.

12164157775 is a deficient number, since it is larger than the sum of its proper divisors (7940555441).

12164157775 is a wasteful number, since it uses less digits than its factorization.

12164157775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6788 counting only the distinct ones).

The product of its digits is 411600, while the sum is 46.

The spelling of 12164157775 in words is "twelve billion, one hundred sixty-four million, one hundred fifty-seven thousand, seven hundred seventy-five".

Divisors: 1 5 7 11 23 25 35 41 55 77 115 161 175 205 253 275 287 385 451 575 805 943 1025 1265 1435 1771 1925 2255 3157 4025 4715 6325 6601 6701 7175 8855 10373 11275 15785 23575 33005 33505 44275 46907 51865 72611 73711 78925 154123 165025 167525 234535 259325 274741 363055 368555 515977 770615 1078861 1172675 1373705 1695353 1815275 1842775 1923187 2579885 3022151 3853075 5394305 6319043 6868525 8476765 9615935 11867471 12899425 15110755 21155057 26971525 31595215 42383825 44233301 48079675 59337355 69509473 75553775 105775285 157976075 221166505 296686775 347547365 486566311 528876425 1105832525 1737736825 2432831555 12164157775