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153522345104424 = 233255211809721341
BaseRepresentation
bin100010111010000010110100…
…110110000101010000101000
3202010120121000012012200212100
4202322002310312011100220
5130110302230321320144
61302303105224013400
744223423554143152
oct4272026466052050
9663517005180770
10153522345104424
1144a0a50854608a
12152757aa901260
1367881309c965a
1429ca74206bad2
1512b3706353269
hex8ba0b4d85428

153522345104424 has 96 divisors (see below), whose sum is σ = 415907462753640. Its totient is φ = 51159621427200.

The previous prime is 153522345104419. The next prime is 153522345104483. The reversal of 153522345104424 is 424401543225351.

153522345104424 is a `hidden beast` number, since 1 + 5 + 3 + 52 + 23 + 4 + 510 + 44 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134973973908900 + 18548371195524 = 11617830^2 + 4306782^2 .

It is a super-2 number, since 2×1535223451044242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153522345104424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7193763994 + ... + 7193785334.

Almost surely, 2153522345104424 is an apocalyptic number.

It is an amenable number.

153522345104424 is an abundant number, since it is smaller than the sum of its proper divisors (262385117649216).

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

153522345104424 is a wasteful number, since it uses less digits than its factorization.

153522345104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44971 (or 44964 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 153522345104424 its reverse (424401543225351), we get a palindrome (577923888329775).

The spelling of 153522345104424 in words is "one hundred fifty-three trillion, five hundred twenty-two billion, three hundred forty-five million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5521 11042 16563 18097 21341 22084 33126 36194 42682 44168 49689 54291 64023 66252 72388 85364 99378 108582 128046 132504 144776 162873 170728 192069 198756 217164 256092 325746 384138 397512 434328 512184 651492 768276 1302984 1536552 99913537 117823661 199827074 235647322 299740611 353470983 386208077 399654148 471294644 599481222 706941966 772416154 799308296 899221833 942589288 1060412949 1158624231 1198962444 1413883932 1544832308 1798443666 2120825898 2317248462 2397924888 2827767864 3089664616 3475872693 3596887332 4241651796 4634496924 6951745386 7193774664 8483303592 9268993848 13903490772 27806981544 2132254793117 4264509586234 6396764379351 8529019172468 12793528758702 17058038344936 19190293138053 25587057517404 38380586276106 51174115034808 76761172552212 153522345104424