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534105550101424 = 24728355921146777
BaseRepresentation
bin111100101110001000010001…
…1100101100001101110110000
32121001002222210010002210221111
41321130100203211201232300
51030001241131311221144
65131540411420003104
7220333565302536400
oct17134204345415660
92531088703083844
10534105550101424
11145200989a24974
124baa1298090494
1319c03c25214382
1495c6bbcd42800
1541b349ec86534
hex1e5c423961bb0

534105550101424 has 120 divisors (see below), whose sum is σ = 1218314733835248. Its totient is φ = 226138933923840.

The previous prime is 534105550101419. The next prime is 534105550101427. The reversal of 534105550101424 is 424101055501435.

It is not an unprimeable number, because it can be changed into a prime (534105550101427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3638817924 + ... + 3638964700.

Almost surely, 2534105550101424 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 534105550101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609157366917624).

534105550101424 is an abundant number, since it is smaller than the sum of its proper divisors (684209183733824).

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

534105550101424 is a wasteful number, since it uses less digits than its factorization.

534105550101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202803 (or 202790 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 534105550101424 in words is "five hundred thirty-four trillion, one hundred five billion, five hundred fifty million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 332 392 581 664 784 1162 1328 2324 4067 4648 8134 9296 16268 32536 55921 65072 111842 146777 223684 293554 391447 447368 587108 782894 894736 1027439 1174216 1565788 2054878 2348432 2740129 3131576 4109756 4641443 5480258 6263152 7192073 8219512 9282886 10960516 12182491 14384146 16439024 18565772 21921032 24364982 28768292 32490101 37131544 43842064 48729964 57536584 64980202 74263088 85277437 97459928 115073168 129960404 170554874 194919856 227430707 259920808 341109748 454861414 519841616 596942059 682219496 909722828 1193884118 1364438992 1819445656 2387768236 3638891312 4775536472 8207916617 9551072944 16415833234 32831666468 57455416319 65663332936 114910832638 131326665872 229821665276 402187914233 459643330552 681257079211 804375828466 919286661104 1362514158422 1608751656932 2725028316844 3217503313864 4768799554477 5450056633688 6435006627728 9537599108954 10900113267376 19075198217908 33381596881339 38150396435816 66763193762678 76300792871632 133526387525356 267052775050712 534105550101424