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3976381117110 = 23519241272910607
BaseRepresentation
bin111001110111010010110…
…010001011001010110110
3112002010201211121010121210
4321313102302023022312
51010122112031221420
612242420235222250
7560166300550203
oct71672262131266
915063654533553
103976381117110
1112a3412527346
12542795ba7986
1322ac8175bb9c
14da65a590caa
156d67c69c9e0
hex39dd2c8b2b6

3976381117110 has 128 divisors (see below), whose sum is σ = 10091925043200. Its totient is φ = 999930286080.

The previous prime is 3976381117097. The next prime is 3976381117133. The reversal of 3976381117110 is 117111836793.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3976381117110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374877427 + ... + 374888033.

It is an arithmetic number, because the mean of its divisors is an integer number (78843164400).

Almost surely, 23976381117110 is an apocalyptic number.

3976381117110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3976381117110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045962521600).

3976381117110 is an abundant number, since it is smaller than the sum of its proper divisors (6115543926090).

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

3976381117110 is a wasteful number, since it uses less digits than its factorization.

3976381117110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606.

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 3976381117110 in words is "three trillion, nine hundred seventy-six billion, three hundred eighty-one million, one hundred seventeen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 241 285 482 570 723 1205 1446 2410 2729 3615 4579 5458 7230 8187 9158 10607 13645 13737 16374 21214 22895 27290 27474 31821 40935 45790 51851 53035 63642 68685 81870 103702 106070 137370 155553 159105 201533 259255 311106 318210 403066 518510 604599 657689 777765 1007665 1209198 1315378 1555530 1973067 2015330 2556287 3022995 3288445 3946134 5112574 6045990 6576890 7668861 9865335 12496091 12781435 15337722 19730670 24992182 25562870 28946503 37488273 38344305 48569453 57893006 62480455 74976546 76688610 86839509 97138906 124960910 144732515 145708359 173679018 187441365 242847265 289465030 291416718 374882730 434197545 485694530 549983557 728541795 868395090 1099967114 1457083590 1649950671 2749917785 3299901342 5499835570 6976107223 8249753355 13952214446 16499506710 20928321669 34880536115 41856643338 69761072230 104641608345 132546037237 209283216690 265092074474 397638111711 662730186185 795276223422 1325460372370 1988190558555 3976381117110