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21210622680 = 23351348727919
BaseRepresentation
bin10011110000010000…
…000110101011011000
32000202012112021100210
4103300100012223120
5321414404411210
613424413131120
71350422214042
oct236020065330
960665467323
1021210622680
118aa4930835
12413b489aa0
13200044b210
141052dbca92
158421a3e20
hex4f0406ad8

21210622680 has 128 divisors (see below), whose sum is σ = 68669798400. Its totient is φ = 5210168832.

The previous prime is 21210622651. The next prime is 21210622687. The reversal of 21210622680 is 8622601212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210622687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745761 + ... + 773679.

It is an arithmetic number, because the mean of its divisors is an integer number (536482800).

Almost surely, 221210622680 is an apocalyptic number.

21210622680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210622680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334899200).

21210622680 is an abundant number, since it is smaller than the sum of its proper divisors (47459175720).

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

21210622680 is a wasteful number, since it uses less digits than its factorization.

21210622680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433 (or 28429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 21210622680 in words is "twenty-one billion, two hundred ten million, six hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 487 520 780 974 1461 1560 1948 2435 2922 3896 4870 5844 6331 7305 9740 11688 12662 14610 18993 19480 25324 27919 29220 31655 37986 50648 55838 58440 63310 75972 83757 94965 111676 126620 139595 151944 167514 189930 223352 253240 279190 335028 362947 379860 418785 558380 670056 725894 759720 837570 1088841 1116760 1451788 1675140 1814735 2177682 2903576 3350280 3629470 4355364 5444205 7258940 8710728 10888410 13596553 14517880 21776820 27193106 40789659 43553640 54386212 67982765 81579318 108772424 135965530 163158636 176755189 203948295 271931060 326317272 353510378 407896590 530265567 543862120 707020756 815793180 883775945 1060531134 1414041512 1631586360 1767551890 2121062268 2651327835 3535103780 4242124536 5302655670 7070207560 10605311340 21210622680