Search a number
-
+
11878344101640 = 23351092237405959
BaseRepresentation
bin1010110011011010010001…
…1110110000111100001000
31120001120002020001010210010
42230312210132300330020
53024103322042223030
641132500321551520
72334116303645052
oct254664436607410
946046066033703
1011878344101640
11386a639639845
1213ba1294a55a0
1368217a42a703
142d0cb47908d2
15158eb28c86b0
hexacda47b0f08

11878344101640 has 128 divisors (see below), whose sum is σ = 35978123808000. Its totient is φ = 3137087536128.

The previous prime is 11878344101633. The next prime is 11878344101641. The reversal of 11878344101640 is 4610144387811.

It is a self number, because there is not a number n which added to its sum of digits gives 11878344101640.

It is not an unprimeable number, because it can be changed into a prime (11878344101641) 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, 29056981 + ... + 29462939.

It is an arithmetic number, because the mean of its divisors is an integer number (281079092250).

Almost surely, 211878344101640 is an apocalyptic number.

11878344101640 is a gapful number since it is divisible by the number (10) 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 11878344101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989061904000).

11878344101640 is an abundant number, since it is smaller than the sum of its proper divisors (24099779706360).

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

11878344101640 is a wasteful number, since it uses less digits than its factorization.

11878344101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408319 (or 408315 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 11878344101640 in words is "eleven trillion, eight hundred seventy-eight billion, three hundred forty-four million, one hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2237 2616 3270 4360 4474 6540 6711 8948 11185 13080 13422 17896 22370 26844 33555 44740 53688 67110 89480 134220 243833 268440 405959 487666 731499 811918 975332 1217877 1219165 1462998 1623836 1950664 2029795 2435754 2438330 2925996 3247672 3657495 4059590 4871508 4876660 5851992 6089385 7314990 8119180 9743016 9753320 12178770 14629980 16238360 24357540 29259960 44249531 48715080 88499062 132748593 176998124 221247655 265497186 353996248 442495310 530994372 663742965 884990620 908130283 1061988744 1327485930 1769981240 1816260566 2654971860 2724390849 3632521132 4540651415 5309943720 5448781698 7265042264 9081302830 10897563396 13621954245 18162605660 21795126792 27243908490 36325211320 54487816980 98986200847 108975633960 197972401694 296958602541 395944803388 494931004235 593917205082 791889606776 989862008470 1187834410164 1484793012705 1979724016940 2375668820328 2969586025410 3959448033880 5939172050820 11878344101640