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550404255104 = 27114770911731
BaseRepresentation
bin10000000001001101010…
…01100110110110000000
31221121200121201011121122
420000212221212312000
533004211442130404
61100504025211412
754523346655404
oct10004651466600
91847617634548
10550404255104
111a2474942380
128a809330b68
133cb9788bab2
141c8d5505104
15e4b5c2c3be
hex8026a66d80

550404255104 has 128 divisors (see below), whose sum is σ = 1223469273600. Its totient is φ = 244494489600.

The previous prime is 550404255103. The next prime is 550404255157. The reversal of 550404255104 is 401552404055.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5504042551042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550404255103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46912919 + ... + 46924649.

It is an arithmetic number, because the mean of its divisors is an integer number (9558353700).

Almost surely, 2550404255104 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 550404255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611734636800).

550404255104 is an abundant number, since it is smaller than the sum of its proper divisors (673065018496).

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

550404255104 is a wasteful number, since it uses less digits than its factorization.

550404255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

Adding to 550404255104 its reverse (401552404055), we get a palindrome (951956659159).

It can be divided in two parts, 550404 and 255104, that added together give a palindrome (805508).

The spelling of 550404255104 in words is "five hundred fifty billion, four hundred four million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 709 752 1034 1408 1418 1504 2068 2836 3008 4136 5672 6016 7799 8272 11344 11731 15598 16544 22688 23462 31196 33088 33323 45376 46924 62392 66176 66646 90752 93848 124784 129041 133292 187696 249568 258082 266584 366553 375392 499136 516164 533168 551357 733106 750784 998272 1032328 1066336 1102714 1466212 1501568 2064656 2132672 2205428 2932424 4129312 4265344 4410856 5864848 6064927 8258624 8317279 8821712 11729696 12129854 16517248 16634558 17643424 23459392 24259708 33269116 35286848 46918784 48519416 66538232 70573696 91490069 97038832 133076464 182980138 194077664 266152928 365960276 388155328 390912113 532305856 731920552 776310656 781824226 1064611712 1463841104 1563648452 2927682208 3127296904 4300033243 5855364416 6254593808 8600066486 11710728832 12509187616 17200132972 25018375232 34400265944 50036750464 68800531888 137601063776 275202127552 550404255104