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38320805820 = 22351182370549
BaseRepresentation
bin100011101100000110…
…010001011110111100
310122220122100122010110
4203230012101132330
51111440111241240
625334311510020
72524424321643
oct435406213674
9118818318113
1038320805820
1115285106660
127515688310
1337c920c13b
141bd758035a
15ee4392c80
hex8ec1917bc

38320805820 has 96 divisors (see below), whose sum is σ = 117196531200. Its totient is φ = 9278472960.

The previous prime is 38320805749. The next prime is 38320805843. The reversal of 38320805820 is 2850802383.

38320805820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507906 + ... + 578454.

It is an arithmetic number, because the mean of its divisors is an integer number (1220797200).

Almost surely, 238320805820 is an apocalyptic number.

38320805820 is a gapful number since it is divisible by the number (30) 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 38320805820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58598265600).

38320805820 is an abundant number, since it is smaller than the sum of its proper divisors (78875725380).

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

38320805820 is a wasteful number, since it uses less digits than its factorization.

38320805820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71395 (or 71393 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 38320805820 in words is "thirty-eight billion, three hundred twenty million, eight hundred five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 823 1646 2469 3292 4115 4938 8230 9053 9876 12345 16460 18106 24690 27159 36212 45265 49380 54318 70549 90530 108636 135795 141098 181060 211647 271590 282196 352745 423294 543180 705490 776039 846588 1058235 1410980 1552078 2116470 2328117 3104156 3880195 4232940 4656234 7760390 9312468 11640585 15520780 23281170 46562340 58061827 116123654 174185481 232247308 290309135 348370962 580618270 638680097 696741924 870927405 1161236540 1277360194 1741854810 1916040291 2554720388 3193400485 3483709620 3832080582 6386800970 7664161164 9580201455 12773601940 19160402910 38320805820