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21428779968 = 2632221316811
BaseRepresentation
bin10011111101010000…
…010011101111000000
32001022102000210220100
4103331100103233000
5322341231424333
613502205042400
71356011424111
oct237520235700
961272023810
1021428779968
1190a6a95612
1241a0556400
1320366c1c7b
141073d6a208
158563e8213
hex4fd413bc0

21428779968 has 84 divisors (see below), whose sum is σ = 61453138968. Its totient is φ = 7139274240.

The previous prime is 21428779961. The next prime is 21428779991. The reversal of 21428779968 is 86997782412.

It is a super-2 number, since 2×214287799682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21428779961) 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 11 ways as a sum of consecutive naturals, for example, 1266283 + ... + 1283093.

Almost surely, 221428779968 is an apocalyptic number.

It is an amenable number.

21428779968 is an abundant number, since it is smaller than the sum of its proper divisors (40024359000).

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

21428779968 is a wasteful number, since it uses less digits than its factorization.

21428779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 19029 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 21428779968 in words is "twenty-one billion, four hundred twenty-eight million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2213 4426 6639 8852 13278 16811 17704 19917 26556 33622 35408 39834 50433 53112 67244 70816 79668 100866 106224 134488 141632 151299 159336 201732 212448 268976 302598 318672 403464 424896 537952 605196 637344 806928 1075904 1210392 1274688 1613856 2420784 3227712 4841568 9683136 37202743 74405486 111608229 148810972 223216458 297621944 334824687 446432916 595243888 669649374 892865832 1190487776 1339298748 1785731664 2380975552 2678597496 3571463328 5357194992 7142926656 10714389984 21428779968