Search a number
-
+
6181426224 = 24355926947
BaseRepresentation
bin1011100000111000…
…10001010000110000
3120221210102222200000
411300130101100300
5100124421114344
62501213230000
7306116153541
oct56034212060
916853388600
106181426224
112692288016
121246192300
1377684bb6c
14428d584c8
15262a23a69
hex170711430

6181426224 has 120 divisors (see below), whose sum is σ = 18244873920. Its totient is φ = 2025476928.

The previous prime is 6181426159. The next prime is 6181426243. The reversal of 6181426224 is 4226241816.

6181426224 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 426 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215919 + ... + 242865.

It is an arithmetic number, because the mean of its divisors is an integer number (152040616).

Almost surely, 26181426224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6181426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122436960).

6181426224 is an abundant number, since it is smaller than the sum of its proper divisors (12063447696).

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

6181426224 is a wasteful number, since it uses less digits than its factorization.

6181426224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27029 (or 27011 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 6181426224 is about 78622.0466790327. The cubic root of 6181426224 is about 1835.2542145954.

The spelling of 6181426224 in words is "six billion, one hundred eighty-one million, four hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 243 324 354 432 472 486 531 648 708 944 972 1062 1296 1416 1593 1944 2124 2832 3186 3888 4248 4779 6372 8496 9558 12744 14337 19116 25488 26947 28674 38232 53894 57348 76464 80841 107788 114696 161682 215576 229392 242523 323364 431152 485046 646728 727569 970092 1293456 1455138 1589873 1940184 2182707 2910276 3179746 3880368 4365414 4769619 5820552 6359492 6548121 8730828 9539238 11641104 12718984 13096242 14308857 17461656 19078476 25437968 26192484 28617714 34923312 38156952 42926571 52384968 57235428 76313904 85853142 104769936 114470856 128779713 171706284 228941712 257559426 343412568 386339139 515118852 686825136 772678278 1030237704 1545356556 2060475408 3090713112 6181426224