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21433510240 = 2551729271723
BaseRepresentation
bin10011111101100010…
…010110100101100000
32001022201221010121121
4103331202112211200
5322343434311430
613502454302024
71356066555022
oct237542264540
961281833547
1021433510240
1190a972652a
1241a2057914
13203768a04c
14107483c012
15856a2ea7a
hex4fd896960

21433510240 has 96 divisors (see below), whose sum is σ = 55464302880. Its totient is φ = 7790813184.

The previous prime is 21433510237. The next prime is 21433510243. The reversal of 21433510240 is 4201533412.

It is an interprime number because it is at equal distance from previous prime (21433510237) and next prime (21433510243).

It is a super-2 number, since 2×214335102402 (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 (21433510243) 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 15 ways as a sum of consecutive naturals, for example, 56982 + ... + 214741.

It is an arithmetic number, because the mean of its divisors is an integer number (577753155).

Almost surely, 221433510240 is an apocalyptic number.

21433510240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21433510240 is an abundant number, since it is smaller than the sum of its proper divisors (34030792640).

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

21433510240 is a wasteful number, since it uses less digits than its factorization.

21433510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271784 (or 271776 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 21433510240 in words is "twenty-one billion, four hundred thirty-three million, five hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1360 1972 2320 2465 2720 3944 4640 4930 7888 9860 15776 19720 39440 78880 271723 543446 1086892 1358615 2173784 2717230 4347568 4619291 5434460 7879967 8695136 9238582 10868920 15759934 18477164 21737840 23096455 31519868 36954328 39399835 43475680 46192910 63039736 73908656 78799670 92385820 126079472 133959439 147817312 157599340 184771640 252158944 267918878 315198680 369543280 535837756 630397360 669797195 739086560 1071675512 1260794720 1339594390 2143351024 2679188780 4286702048 5358377560 10716755120 21433510240