Search a number
-
+
6940218450 = 235211672937
BaseRepresentation
bin1100111011010101…
…10101010001010010
3122220200020121220210
412131222311101102
5103203143442300
63104400544550
7333661612014
oct63552652122
918820217823
106940218450
112a41632930
121418322156
13867b04549
1449ba381b4
152a945b050
hex19dab5452

6940218450 has 144 divisors (see below), whose sum is σ = 19081216224. Its totient is φ = 1655596800.

The previous prime is 6940218449. The next prime is 6940218451. The reversal of 6940218450 is 548120496.

It is an interprime number because it is at equal distance from previous prime (6940218449) and next prime (6940218451).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6940218399 and 6940218408.

It is not an unprimeable number, because it can be changed into a prime (6940218451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7406382 + ... + 7407318.

It is an arithmetic number, because the mean of its divisors is an integer number (132508446).

Almost surely, 26940218450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940218450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540608112).

6940218450 is an abundant number, since it is smaller than the sum of its proper divisors (12140997774).

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

6940218450 is a wasteful number, since it uses less digits than its factorization.

6940218450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6940218450 is about 83307.9735079422. The cubic root of 6940218450 is about 1907.4699879103.

The spelling of 6940218450 in words is "six billion, nine hundred forty million, two hundred eighteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 67 75 110 134 150 165 201 275 330 335 402 550 670 737 825 937 1005 1474 1650 1675 1874 2010 2211 2811 3350 3685 4422 4489 4685 5025 5622 7370 8978 9370 10050 10307 11055 13467 14055 18425 20614 22110 22445 23425 26934 28110 30921 36850 44890 46850 49379 51535 55275 61842 62779 67335 70275 98758 103070 110550 112225 125558 134670 140550 148137 154605 188337 224450 246895 257675 296274 309210 313895 336675 376674 493790 515350 627790 673350 690569 740685 773025 941685 1234475 1381138 1481370 1546050 1569475 1883370 2071707 2468950 3138950 3452845 3703425 4143414 4206193 4708425 6905690 7406850 8412386 9416850 10358535 12618579 17264225 20717070 21030965 25237158 34528450 42061930 46268123 51792675 63092895 92536246 103585350 105154825 126185790 138804369 210309650 231340615 277608738 315464475 462681230 630928950 694021845 1156703075 1388043690 2313406150 3470109225 6940218450