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554201324432112 = 243725149371331041
BaseRepresentation
bin111111000000010110000110…
…1000100111010101011110000
32200200021010111011212102022010
41332000230031010322223300
51040120013303023311422
65242404323530242520
7224506503313135230
oct17600541504725360
92620233434772263
10554201324432112
11150649509709115
12521a7b1a286440
131aa30c647120a6
149abd6b6d25cc0
1544110acda6b0c
hex1f80b0d13aaf0

554201324432112 has 160 divisors (see below), whose sum is σ = 1643066186033664. Its totient is φ = 157680322560000.

The previous prime is 554201324432071. The next prime is 554201324432159. The reversal of 554201324432112 is 211234423102455.

It is a super-2 number, since 2×5542013244321122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415701312 + ... + 417032352.

Almost surely, 2554201324432112 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 554201324432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821533093016832).

554201324432112 is an abundant number, since it is smaller than the sum of its proper divisors (1088864861601552).

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

554201324432112 is a wasteful number, since it uses less digits than its factorization.

554201324432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336247 (or 1336241 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 554201324432112 its reverse (211234423102455), we get a palindrome (765435747534567).

The spelling of 554201324432112 in words is "five hundred fifty-four trillion, two hundred one billion, three hundred twenty-four million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 251 336 502 753 1004 1506 1757 2008 3012 3514 4016 4937 5271 6024 7028 9874 10542 12048 14056 14811 19748 21084 28112 29622 34559 39496 42168 59244 69118 78992 84336 103677 118488 138236 207354 236976 276472 414708 552944 829416 1239187 1331041 1658832 2478374 2662082 3717561 3993123 4956748 5324164 7435122 7986246 8674309 9317287 9913496 10648328 14870244 15972492 17348618 18634574 19826992 21296656 26022927 27951861 29740488 31944984 34697236 37269148 52045854 55903722 59480976 63889968 69394472 74538296 104091708 111807444 138788944 149076592 208183416 223614888 334091291 416366832 447229776 668182582 1002273873 1336365164 2004547746 2338639037 2672730328 4009095492 4677278074 5345460656 6571349417 7015917111 8018190984 9354556148 13142698834 14031834222 16036381968 18709112296 19714048251 26285397668 28063668444 37418224592 39428096502 45999445919 52570795336 56127336888 78856193004 91998891838 105141590672 112254673776 137998337757 157712386008 183997783676 275996675514 315424772016 367995567352 551993351028 735991134704 1103986702056 1649408703667 2207973404112 3298817407334 4948226111001 6597634814668 9896452222002 11545860925669 13195269629336 19792904444004 23091721851338 26390539258672 34637582777007 39585808888008 46183443702676 69275165554014 79171617776016 92366887405352 138550331108028 184733774810704 277100662216056 554201324432112