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493738941720 = 233517287984067
BaseRepresentation
bin1110010111101010010…
…00100101110100011000
31202012102111220222221010
413023311020211310120
531042134132113340
61014453123013520
750446211521203
oct7136510456430
91665374828833
10493738941720
11180436840772
127b83420a2a0
1337736c6a16b
1419c7b89a93a
15cc9b12eb80
hex72f5225d18

493738941720 has 128 divisors (see below), whose sum is σ = 1568910643200. Its totient is φ = 123874277376.

The previous prime is 493738941643. The next prime is 493738941727. The reversal of 493738941720 is 27149837394.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493738941727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5831127 + ... + 5915193.

It is an arithmetic number, because the mean of its divisors is an integer number (12257114400).

Almost surely, 2493738941720 is an apocalyptic number.

493738941720 is a gapful number since it is divisible by the number (40) 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 493738941720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784455321600).

493738941720 is an abundant number, since it is smaller than the sum of its proper divisors (1075171701480).

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

493738941720 is a wasteful number, since it uses less digits than its factorization.

493738941720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86977 (or 86973 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 493738941720 in words is "four hundred ninety-three billion, seven hundred thirty-eight million, nine hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2879 5758 8637 11516 14395 17274 23032 28790 34548 43185 48943 57580 69096 84067 86370 97886 115160 146829 168134 172740 195772 244715 252201 293658 336268 345480 391544 420335 489430 504402 587316 672536 734145 840670 978860 1008804 1174632 1261005 1429139 1468290 1681340 1957720 2017608 2522010 2858278 2936580 3362680 4287417 5044020 5716556 5873160 7145695 8574834 10088040 11433112 14291390 17149668 21437085 28582780 34299336 42874170 57165560 85748340 171496680 242028893 484057786 726086679 968115572 1210144465 1452173358 1936231144 2420288930 2904346716 3630433395 4114491181 4840577860 5808693432 7260866790 8228982362 9681155720 12343473543 14521733580 16457964724 20572455905 24686947086 29043467160 32915929448 41144911810 49373894172 61717367715 82289823620 98747788344 123434735430 164579647240 246869470860 493738941720