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21968233266 = 23731227239311
BaseRepresentation
bin10100011101011010…
…001010001100110010
32002201000002212201010
4110131122022030302
5324442331431031
614031515251350
71405251621210
oct243532121462
962630085633
1021968233266
119353549891
124311149b56
1320c13abac5
1410c5871cb0
15888956246
hex51d68a332

21968233266 has 128 divisors (see below), whose sum is σ = 52447150080. Its totient is φ = 6002740800.

The previous prime is 21968233253. The next prime is 21968233277. The reversal of 21968233266 is 66233286912.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70637251 + ... + 70637561.

It is an arithmetic number, because the mean of its divisors is an integer number (409743360).

Almost surely, 221968233266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21968233266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26223575040).

21968233266 is an abundant number, since it is smaller than the sum of its proper divisors (30478916814).

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

21968233266 is a wasteful number, since it uses less digits than its factorization.

21968233266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820.

The product of its digits is 1119744, while the sum is 48.

The spelling of 21968233266 in words is "twenty-one billion, nine hundred sixty-eight million, two hundred thirty-three thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 227 239 311 434 454 478 622 651 681 717 933 1302 1362 1434 1589 1673 1866 2177 3178 3346 4354 4767 5019 6531 7037 7409 9534 9641 10038 13062 14074 14818 19282 21111 22227 28923 42222 44454 49259 51863 54253 57846 67487 70597 74329 98518 103726 108506 134974 141194 147777 148658 155589 162759 202461 211791 222987 295554 311178 325518 379771 404922 423582 445974 494179 520303 759542 988358 1040606 1139313 1482537 1560909 1681843 2188507 2278626 2304199 2965074 3121818 3363686 4377014 4608398 5045529 6565521 6912597 10091058 11772901 13131042 13825194 15319549 16129393 16872683 23545802 30639098 32258786 33745366 35318703 45958647 48388179 50618049 70637406 91917294 96776358 101236098 118108781 236217562 354326343 523053173 708652686 1046106346 1569159519 3138319038 3661372211 7322744422 10984116633 21968233266