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211330606644 = 2232101241241169
BaseRepresentation
bin1100010011010001001…
…0010010011000110100
3202012110222211010210100
43010310102102120310
511430301113403034
6241030044154100
721160653342423
oct3046422223064
9665428733710
10211330606644
1181696688723
1234b5a238930
1316c0b89c751
14a32ac512ba
15576d06b099
hex3134492634

211330606644 has 72 divisors (see below), whose sum is σ = 541726665480. Its totient is φ = 69456384000.

The previous prime is 211330606609. The next prime is 211330606657. The reversal of 211330606644 is 446606033112.

211330606644 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 0 + 6 + 0 + 6 + 644 = 666.

211330606644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 167557598244 + 43773008400 = 409338^2 + 209220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211330606599 and 211330606608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755692 + ... + 996860.

It is an arithmetic number, because the mean of its divisors is an integer number (7523981465).

Almost surely, 2211330606644 is an apocalyptic number.

It is an amenable number.

211330606644 is an abundant number, since it is smaller than the sum of its proper divisors (330396058836).

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

211330606644 is a wasteful number, since it uses less digits than its factorization.

211330606644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241521 (or 241516 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 211330606644 its reverse (446606033112), we get a palindrome (657936639756).

The spelling of 211330606644 in words is "two hundred eleven billion, three hundred thirty million, six hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 241 303 404 482 606 723 909 964 1212 1446 1818 2169 2892 3636 4338 8676 24341 48682 73023 97364 146046 219069 241169 292092 438138 482338 723507 876276 964676 1447014 2170521 2894028 4341042 8682084 24358069 48716138 58121729 73074207 97432276 116243458 146148414 174365187 219222621 232486916 292296828 348730374 438445242 523095561 697460748 876890484 1046191122 2092382244 5870294629 11740589258 17610883887 23481178516 35221767774 52832651661 70443535548 105665303322 211330606644