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38704001820 = 223511461127207
BaseRepresentation
bin100100000010111100…
…000011001100011100
310200220100102000012220
4210002330003030130
51113231211024240
625440321025340
72540056405311
oct440274031434
9120810360186
1038704001820
1115461444470
127601a85250
13385a718c33
141c3240cd08
151017d375d0
hex902f0331c

38704001820 has 96 divisors (see below), whose sum is σ = 118480513536. Its totient is φ = 9362361600.

The previous prime is 38704001773. The next prime is 38704001821. The reversal of 38704001820 is 2810040783.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38704001821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240657 + ... + 367863.

It is an arithmetic number, because the mean of its divisors is an integer number (1234172016).

Almost surely, 238704001820 is an apocalyptic number.

38704001820 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 38704001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59240256768).

38704001820 is an abundant number, since it is smaller than the sum of its proper divisors (79776511716).

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

38704001820 is a wasteful number, since it uses less digits than its factorization.

38704001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127691 (or 127689 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 38704001820 in words is "thirty-eight billion, seven hundred four million, one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 461 660 922 1383 1844 2305 2766 4610 5071 5532 6915 9220 10142 13830 15213 20284 25355 27660 30426 50710 60852 76065 101420 127207 152130 254414 304260 381621 508828 636035 763242 1272070 1399277 1526484 1908105 2544140 2798554 3816210 4197831 5597108 6996385 7632420 8395662 13992770 16791324 20989155 27985540 41978310 58642427 83956620 117284854 175927281 234569708 293212135 351854562 586424270 645066697 703709124 879636405 1172848540 1290133394 1759272810 1935200091 2580266788 3225333485 3518545620 3870400182 6450666970 7740800364 9676000455 12901333940 19352000910 38704001820