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211770262164 = 22376925219103
BaseRepresentation
bin1100010100111001111…
…1011100001010010100
3202020121122002221210010
43011032133130022110
511432201141342124
6241141431400220
721204602346066
oct3051637341224
9666548087703
10211770262164
11818a187939a
1235061523070
1316c7b9b6b46
14a36d3b9736
155796964529
hex314e7dc294

211770262164 has 48 divisors (see below), whose sum is σ = 495023809280. Its totient is φ = 70462586880.

The previous prime is 211770262139. The next prime is 211770262177. The reversal of 211770262164 is 461262077112.

211770262164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23259237 + ... + 23268339.

Almost surely, 2211770262164 is an apocalyptic number.

It is an amenable number.

211770262164 is an abundant number, since it is smaller than the sum of its proper divisors (283253547116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211770262164 is a wasteful number, since it uses less digits than its factorization.

211770262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 211770262164 in words is "two hundred eleven billion, seven hundred seventy million, two hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 769 1538 2307 2521 3076 4614 5042 7563 9103 9228 10084 15126 18206 27309 30252 36412 54618 109236 1938649 3877298 5815947 7000207 7754596 11631894 14000414 21000621 22948663 23263788 28000828 42001242 45897326 68845989 84002484 91794652 137691978 275383956 17647521847 35295043694 52942565541 70590087388 105885131082 211770262164