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551533006416 = 243713721435591
BaseRepresentation
bin10000000011010011110…
…11011100111001010000
31221201121021122200022210
420001221323130321100
533014014422201131
61101212030232120
754563334126510
oct10015173347120
91851537580283
10551533006416
111a29a40049a7
128aa83355640
1340017698292
141c9a13a9840
15e52ed92146
hex8069edce50

551533006416 has 160 divisors (see below), whose sum is σ = 1641280094208. Its totient is φ = 156329671680.

The previous prime is 551533006379. The next prime is 551533006417. The reversal of 551533006416 is 614600335155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551533006417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98643781 + ... + 98649371.

Almost surely, 2551533006416 is an apocalyptic number.

551533006416 is a gapful number since it is divisible by the number (56) 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 551533006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820640047104).

551533006416 is an abundant number, since it is smaller than the sum of its proper divisors (1089747087792).

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

551533006416 is a wasteful number, since it uses less digits than its factorization.

551533006416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 551533006416 in words is "five hundred fifty-one billion, five hundred thirty-three million, six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 336 411 548 822 959 1096 1644 1918 2143 2192 2877 3288 3836 4286 5591 5754 6429 6576 7672 8572 11182 11508 12858 15001 15344 16773 17144 22364 23016 25716 30002 33546 34288 39137 44728 45003 46032 51432 60004 67092 78274 89456 90006 102864 117411 120008 134184 156548 180012 234822 240016 268368 293591 313096 360024 469644 587182 626192 720048 765967 880773 939288 1174364 1531934 1761546 1878576 2055137 2297901 2348728 3063868 3523092 4110274 4595802 4697456 5361769 6127736 6165411 7046184 8220548 9191604 10723538 11981513 12255472 12330822 14092368 16085307 16441096 18383208 21447076 23963026 24661644 32170614 32882192 35944539 36766416 42894152 47926052 49323288 64341228 71889078 83870591 85788304 95852104 98646576 128682456 143778156 167741182 191704208 251611773 257364912 287556312 335482364 503223546 575112624 670964728 1006447092 1341929456 1641467281 2012894184 3282934562 4025788368 4924401843 6565869124 9848803686 11490270967 13131738248 19697607372 22980541934 26263476496 34470812901 39395214744 45961083868 68941625802 78790429488 91922167736 137883251604 183844335472 275766503208 551533006416