Search a number
-
+
11030926896 = 24331115115373
BaseRepresentation
bin10100100010111111…
…01001011000110000
31001110202122010222000
422101133221120300
5140042404130041
65022331014000
7540233221503
oct122137513060
931422563860
1011030926896
114750741710
12217a29a300
13106a4654a2
1476904113a
1544864cbb6
hex2917e9630

11030926896 has 160 divisors (see below), whose sum is σ = 34772298240. Its totient is φ = 3320352000.

The previous prime is 11030926889. The next prime is 11030926903. The reversal of 11030926896 is 69862903011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11030926889) and next prime (11030926903).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709866 + ... + 725238.

It is an arithmetic number, because the mean of its divisors is an integer number (217326864).

Almost surely, 211030926896 is an apocalyptic number.

11030926896 is a gapful number since it is divisible by the number (16) 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 11030926896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386149120).

11030926896 is an abundant number, since it is smaller than the sum of its proper divisors (23741371344).

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

11030926896 is a wasteful number, since it uses less digits than its factorization.

11030926896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15552 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11030926896 in words is "eleven billion, thirty million, nine hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 151 176 198 216 264 297 302 396 432 453 528 594 604 792 906 1188 1208 1359 1584 1661 1812 2376 2416 2718 3322 3624 4077 4752 4983 5436 6644 7248 8154 9966 10872 13288 14949 15373 16308 19932 21744 26576 29898 30746 32616 39864 44847 46119 59796 61492 65232 79728 89694 92238 119592 122984 138357 169103 179388 184476 239184 245968 276714 338206 358776 368952 415071 507309 553428 676412 717552 737904 830142 1014618 1106856 1352824 1521927 1660284 2029236 2213712 2321323 2705648 3043854 3320568 4058472 4565781 4642646 6087708 6641136 6963969 8116944 9131562 9285292 12175416 13927938 18263124 18570584 20891907 24350832 25534553 27855876 36526248 37141168 41783814 51069106 55711752 62675721 73052496 76603659 83567628 102138212 111423504 125351442 153207318 167135256 204276424 229810977 250702884 306414636 334270512 408552848 459621954 501405768 612829272 689432931 919243908 1002811536 1225658544 1378865862 1838487816 2757731724 3676975632 5515463448 11030926896