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20021755712 = 2671713918913
BaseRepresentation
bin10010101001011000…
…111011111101000000
31220200100110120110212
4102221120323331000
5312001032140322
613110423413252
71306105054430
oct225130737500
956610416425
1020021755712
118544839452
123a692b4228
131b7105423a
14d7d14a2c0
157c2b170e2
hex4a963bf40

20021755712 has 112 divisors (see below), whose sum is σ = 48425892480. Its totient is φ = 8017477632.

The previous prime is 20021755703. The next prime is 20021755717. The reversal of 20021755712 is 21755712002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021755717) 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 15 ways as a sum of consecutive naturals, for example, 1049168 + ... + 1068080.

It is an arithmetic number, because the mean of its divisors is an integer number (432374040).

Almost surely, 220021755712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24212946240).

20021755712 is an abundant number, since it is smaller than the sum of its proper divisors (28404136768).

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

20021755712 is a wasteful number, since it uses less digits than its factorization.

20021755712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19088 (or 19078 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The spelling of 20021755712 in words is "twenty billion, twenty-one million, seven hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 139 224 238 272 278 448 476 544 556 952 973 1088 1112 1904 1946 2224 2363 3808 3892 4448 4726 7616 7784 8896 9452 15568 16541 18904 18913 31136 33082 37808 37826 62272 66164 75616 75652 132328 132391 151232 151304 264656 264782 302608 321521 529312 529564 605216 643042 1058624 1059128 1210432 1286084 2118256 2250647 2572168 2628907 4236512 4501294 5144336 5257814 8473024 9002588 10288672 10515628 18005176 18402349 20577344 21031256 36010352 36804698 42062512 44691419 72020704 73609396 84125024 89382838 144041408 147218792 168250048 178765676 294437584 312839933 357531352 588875168 625679866 715062704 1177750336 1251359732 1430125408 2502719464 2860250816 5005438928 10010877856 20021755712