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21327272712 = 23323746317291
BaseRepresentation
bin10011110111001101…
…000101101100001000
32001001100000201010100
4103313031011230020
5322134240211322
613444141245400
71353336553434
oct236715055410
961040021110
1021327272712
119054764719
124172563860
13201b6713c5
1410646a59c4
1584c546dac
hex4f7345b08

21327272712 has 96 divisors (see below), whose sum is σ = 59454046080. Its totient is φ = 6901614720.

The previous prime is 21327272711. The next prime is 21327272717. The reversal of 21327272712 is 21727272312.

It is a super-2 number, since 2×213272727122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21327272711) 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, 1224787 + ... + 1242077.

It is an arithmetic number, because the mean of its divisors is an integer number (619312980).

Almost surely, 221327272712 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 21327272712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29727023040).

21327272712 is an abundant number, since it is smaller than the sum of its proper divisors (38126773368).

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

21327272712 is a wasteful number, since it uses less digits than its factorization.

21327272712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17803 (or 17796 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The spelling of 21327272712 in words is "twenty-one billion, three hundred twenty-seven million, two hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 463 666 888 926 1332 1389 1852 2664 2778 3704 4167 5556 8334 11112 16668 17131 17291 33336 34262 34582 51393 51873 68524 69164 102786 103746 137048 138328 154179 155619 205572 207492 308358 311238 411144 414984 616716 622476 639767 1233432 1244952 1279534 1919301 2559068 3838602 5118136 5757903 7677204 8005733 11515806 15354408 16011466 23031612 24017199 32022932 46063224 48034398 64045864 72051597 96068796 144103194 192137592 288206388 296212121 576412776 592424242 888636363 1184848484 1777272726 2369696968 2665909089 3554545452 5331818178 7109090904 10663636356 21327272712