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20110211968 = 277112040403
BaseRepresentation
bin10010101110101010…
…010111101110000000
31220220111220121122111
4102232222113232000
5312141203240333
613123303345104
71311230660410
oct225652275600
956814817574
1020110211968
11858a7659a0
123a92a52194
131b86485612
14d8abb4640
157ca78b4cd
hex4aea97b80

20110211968 has 64 divisors (see below), whose sum is σ = 49949089920. Its totient is φ = 7835143680.

The previous prime is 20110211941. The next prime is 20110211969. The reversal of 20110211968 is 86911201102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110211969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010346 + ... + 1030057.

It is an arithmetic number, because the mean of its divisors is an integer number (780454530).

Almost surely, 220110211968 is an apocalyptic number.

20110211968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20110211968 is an abundant number, since it is smaller than the sum of its proper divisors (29838877952).

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

20110211968 is a wasteful number, since it uses less digits than its factorization.

20110211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040435 (or 2040423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 20110211968 in words is "twenty billion, one hundred ten million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 2040403 4080806 8161612 14282821 16323224 22444433 28565642 32646448 44888866 57131284 65292896 89777732 114262568 130585792 157111031 179555464 228525136 261171584 314222062 359110928 457050272 628444124 718221856 914100544 1256888248 1436443712 1828201088 2513776496 2872887424 5027552992 10055105984 20110211968