Search a number
-
+
11022020064 = 2532114380911
BaseRepresentation
bin10100100001111011…
…01010110111100000
31001110010212122002100
422100331222313200
5140033114120224
65021412050400
7540064424166
oct122075526740
931403778070
1011022020064
1147467088a0
122177303a00
131068667383
14767ba3236
1544798dac9
hex290f6ade0

11022020064 has 144 divisors (see below), whose sum is σ = 34988937984. Its totient is φ = 3262291200.

The previous prime is 11022020063. The next prime is 11022020143. The reversal of 11022020064 is 46002022011.

11022020064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022020063) 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 23 ways as a sum of consecutive naturals, for example, 95769 + ... + 176679.

It is an arithmetic number, because the mean of its divisors is an integer number (242978736).

Almost surely, 211022020064 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 11022020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494468992).

11022020064 is an abundant number, since it is smaller than the sum of its proper divisors (23966917920).

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

11022020064 is a wasteful number, since it uses less digits than its factorization.

11022020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80981 (or 80970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11022020064 its reverse (46002022011), we get a palindrome (57024042075).

The spelling of 11022020064 in words is "eleven billion, twenty-two million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 66 72 86 88 96 99 129 132 144 172 176 198 258 264 288 344 352 387 396 473 516 528 688 774 792 946 1032 1056 1376 1419 1548 1584 1892 2064 2838 3096 3168 3784 4128 4257 5676 6192 7568 8514 11352 12384 15136 17028 22704 34056 45408 68112 80911 136224 161822 242733 323644 485466 647288 728199 890021 970932 1294576 1456398 1780042 1941864 2589152 2670063 2912796 3479173 3560084 3883728 5340126 5825592 6958346 7120168 7767456 8010189 10437519 10680252 11651184 13916692 14240336 16020378 20875038 21360504 23302368 27833384 28480672 31312557 32040756 38270903 41750076 42721008 55666768 62625114 64081512 76541806 83500152 85442016 111333536 114812709 125250228 128163024 153083612 167000304 229625418 250500456 256326048 306167224 334000608 344438127 459250836 501000912 612334448 688876254 918501672 1002001824 1224668896 1377752508 1837003344 2755505016 3674006688 5511010032 11022020064