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3988787148420 = 2235137555787323
BaseRepresentation
bin111010000010110110001…
…111011011011010000100
3112010022202102201211012220
4322002312033123122010
51010323014002222140
612252231251412340
7561115602225534
oct72026617333204
915108672654186
103988787148420
1112a86a93a3288
125450788b40b0
1322c1aaa67309
14db0b60a34c4
156db568c3bd0
hex3a0b63db684

3988787148420 has 96 divisors (see below), whose sum is σ = 11252280025728. Its totient is φ = 1055710405632.

The previous prime is 3988787148407. The next prime is 3988787148457. The reversal of 3988787148420 is 248417878893.

3988787148420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 45634879 + ... + 45722201.

It is an arithmetic number, because the mean of its divisors is an integer number (117211250268).

Almost surely, 23988787148420 is an apocalyptic number.

3988787148420 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 3988787148420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626140012864).

3988787148420 is an abundant number, since it is smaller than the sum of its proper divisors (7263492877308).

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

3988787148420 is a wasteful number, since it uses less digits than its factorization.

3988787148420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93029 (or 93027 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 3988787148420 in words is "three trillion, nine hundred eighty-eight billion, seven hundred eighty-seven million, one hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 5557 8220 11114 16671 22228 27785 33342 55570 66684 83355 87323 111140 166710 174646 261969 333420 349292 436615 523938 761309 873230 1047876 1309845 1522618 1746460 2283927 2619690 3045236 3806545 4567854 5239380 7613090 9135708 11419635 11963251 15226180 22839270 23926502 35889753 45678540 47853004 59816255 71779506 119632510 143559012 179448765 239265020 358897530 485253911 717795060 970507822 1455761733 1941015644 2426269555 2911523466 4852539110 5823046932 7278808665 9705078220 14557617330 29115234660 66479785807 132959571614 199439357421 265919143228 332398929035 398878714842 664797858070 797757429684 997196787105 1329595716140 1994393574210 3988787148420