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20835249960 = 2335767370207
BaseRepresentation
bin10011011001111000…
…001010111100101000
31222210001012100210110
4103121320022330220
5320132310444320
613323243414320
71335213462660
oct233170127450
958701170713
1020835249960
118921a56748
1240558243a0
131c70750295
1410191c91a0
1581e2575e0
hex4d9e0af28

20835249960 has 128 divisors (see below), whose sum is σ = 72501534720. Its totient is φ = 4691250432.

The previous prime is 20835249949. The next prime is 20835249973. The reversal of 20835249960 is 6994253802.

It is a happy number.

It is a super-3 number, since 3×208352499603 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 128824 + ... + 241383.

It is an arithmetic number, because the mean of its divisors is an integer number (566418240).

Almost surely, 220835249960 is an apocalyptic number.

20835249960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20835249960 is an abundant number, since it is smaller than the sum of its proper divisors (51666284760).

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

20835249960 is a wasteful number, since it uses less digits than its factorization.

20835249960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370295 (or 370291 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 20835249960 in words is "twenty billion, eight hundred thirty-five million, two hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 370207 740414 1110621 1480828 1851035 2221242 2591449 2961656 3702070 4442484 5182898 5553105 7404140 7774347 8884968 10365796 11106210 12957245 14808280 15548694 20731592 22212420 24803869 25914490 31097388 38871735 44424840 49607738 51828980 62194776 74411607 77743470 99215476 103657960 124019345 148823214 155486940 173627083 198430952 248038690 297646428 310973880 347254166 372058035 496077380 520881249 595292856 694508332 744116070 868135415 992154760 1041762498 1389016664 1488232140 1736270830 2083524996 2604406245 2976464280 3472541660 4167049992 5208812490 6945083320 10417624980 20835249960