Search a number
-
+
10118847047550 = 2352832137380327
BaseRepresentation
bin1001001100111111101001…
…0010001010011101111110
31022211100111211220210220020
42103033322102022131332
52311241344321010200
633304311213433010
72063030314521303
oct223177222123576
938740454823806
1010118847047550
1132514193a697a
12117512549b766
135852845119b7
1426da7d2b10aa
15128333aa2ea0
hex933fa48a77e

10118847047550 has 96 divisors (see below), whose sum is σ = 25409038217472. Its totient is φ = 2664594382080.

The previous prime is 10118847047549. The next prime is 10118847047557. The reversal of 10118847047550 is 5574074881101.

It is a super-2 number, since 2×101188470475502 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10118847047493 and 10118847047502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10118847047557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26415487 + ... + 26795813.

It is an arithmetic number, because the mean of its divisors is an integer number (264677481432).

Almost surely, 210118847047550 is an apocalyptic number.

10118847047550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118847047550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704519108736).

10118847047550 is an abundant number, since it is smaller than the sum of its proper divisors (15290191169922).

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

10118847047550 is a wasteful number, since it uses less digits than its factorization.

10118847047550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382562 (or 382557 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 10118847047550 in words is "ten trillion, one hundred eighteen billion, eight hundred forty-seven million, forty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2137 2490 4150 4274 6225 6411 10685 12450 12822 21370 32055 53425 64110 106850 160275 177371 320550 354742 380327 532113 760654 886855 1064226 1140981 1773710 1901635 2281962 2660565 3803270 4434275 5321130 5704905 8868550 9508175 11409810 13302825 19016350 26605650 28524525 31567141 57049050 63134282 94701423 157835705 189402846 315671410 473507115 789178525 812758799 947014230 1578357050 1625517598 2367535575 2438276397 4063793995 4735071150 4876552794 8127587990 12191381985 20318969975 24382763970 40637939950 60956909925 67458980317 121913819850 134917960634 202376940951 337294901585 404753881902 674589803170 1011884704755 1686474507925 2023769409510 3372949015850 5059423523775 10118847047550