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11334104432 = 247314389853
BaseRepresentation
bin10101000111001000…
…01011010101110000
31002020220010011100122
422203210023111300
5141203012320212
65112401105412
7550604204150
oct124344132560
932226104318
1011334104432
114896896462
122243928268
1310b8206691
14797400760
15465088272
hex2a390b570

11334104432 has 160 divisors (see below), whose sum is σ = 26838282240. Its totient is φ = 4534548480.

The previous prime is 11334104413. The next prime is 11334104443. The reversal of 11334104432 is 23440143311.

It is a happy number.

It is a congruent number.

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, 13286918 + ... + 13287770.

It is an arithmetic number, because the mean of its divisors is an integer number (167739264).

Almost surely, 211334104432 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 11334104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419141120).

11334104432 is an abundant number, since it is smaller than the sum of its proper divisors (15504177808).

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

11334104432 is a wasteful number, since it uses less digits than its factorization.

11334104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11334104432 its reverse (23440143311), we get a palindrome (34774247743).

The spelling of 11334104432 in words is "eleven billion, three hundred thirty-four million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 89 112 124 172 178 217 248 301 344 356 434 496 602 623 688 712 853 868 1204 1246 1333 1424 1706 1736 2408 2492 2666 2759 3412 3472 3827 4816 4984 5332 5518 5971 6824 7654 9331 9968 10664 11036 11942 13648 15308 18662 19313 21328 22072 23884 26443 26789 30616 36679 37324 38626 44144 47768 52886 53578 61232 73358 74648 75917 77252 95536 105772 107156 118637 146716 149296 151834 154504 185101 211544 214312 237274 256753 293432 303668 309008 370202 423088 428624 474548 513506 531419 586864 607336 740404 830459 949096 1027012 1062838 1137049 1214672 1480808 1660918 1898192 2054024 2125676 2274098 2353427 2961616 3264431 3321836 4108048 4251352 4548196 4706854 6528862 6643672 7959343 8502704 9096392 9413708 13057724 13287344 15918686 16473989 18192784 18827416 22851017 26115448 31837372 32947978 37654832 45702034 52230896 63674744 65895956 91404068 101197361 127349488 131791912 182808136 202394722 263583824 365616272 404789444 708381527 809578888 1416763054 1619157776 2833526108 5667052216 11334104432