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11034232404 = 22313271197389
BaseRepresentation
bin10100100011011000…
…10000011001010100
31001110222212002021020
422101230100121110
5140044230414104
65022525521140
7540303266526
oct122154203124
931428762236
1011034232404
11475259a138
12217b4131b0
13106b051c00
14769661a16
15448aa22d9
hex291b10654

11034232404 has 144 divisors (see below), whose sum is σ = 28488620160. Its totient is φ = 3321776640.

The previous prime is 11034232403. The next prime is 11034232423. The reversal of 11034232404 is 40423243011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034232403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28365442 + ... + 28365830.

It is an arithmetic number, because the mean of its divisors is an integer number (197837640).

Almost surely, 211034232404 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 11034232404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244310080).

11034232404 is an abundant number, since it is smaller than the sum of its proper divisors (17454387756).

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

11034232404 is a wasteful number, since it uses less digits than its factorization.

11034232404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11034232404 its reverse (40423243011), we get a palindrome (51457475415).

The spelling of 11034232404 in words is "eleven billion, thirty-four million, two hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 169 197 213 284 338 389 394 426 507 591 676 778 788 852 923 1014 1167 1182 1556 1846 2028 2334 2364 2561 2769 3692 4668 5057 5122 5538 7683 10114 10244 11076 11999 13987 15171 15366 20228 23998 27619 27974 30342 30732 33293 35997 41961 47996 55238 55948 60684 65741 66586 71994 76633 82857 83922 99879 110476 131482 133172 143988 153266 165714 167844 181831 197223 199758 229899 262964 306532 331428 359047 363662 394446 399516 459798 545493 718094 727324 788892 919596 996229 1077141 1090986 1436188 1992458 2154282 2181972 2363803 2988687 3984916 4308564 4667611 4727606 5440943 5977374 7091409 9335222 9455212 10881886 11954748 12950977 14002833 14182818 16322829 18670444 21763772 25901954 28005666 28365636 32645658 38852931 51803908 56011332 65291316 70732259 77705862 141464518 155411724 212196777 282929036 424393554 848787108 919519367 1839038734 2758558101 3678077468 5517116202 11034232404