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2153522301344 = 251724116426061
BaseRepresentation
bin11111010101100111111…
…011101000100110100000
321121212121200010210220222
4133111213323220212200
5240240403202120334
64325151532422212
7311405201351321
oct37254773504640
97555550123828
102153522301344
11760338219087
122a944a317968
131280cb78abbb
1476333d66448
153b040e21d2e
hex1f567ee89a0

2153522301344 has 48 divisors (see below), whose sum is σ = 4507771342536. Its totient is φ = 1009217126400.

The previous prime is 2153522301331. The next prime is 2153522301379. The reversal of 2153522301344 is 4431032253512.

It can be written as a sum of positive squares in 4 ways, for example, as 1764380890000 + 389141411344 = 1328300^2 + 623812^2 .

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 7 ways as a sum of consecutive naturals, for example, 8081927 + ... + 8344134.

Almost surely, 22153522301344 is an apocalyptic number.

It is an amenable number.

2153522301344 is an abundant number, since it is smaller than the sum of its proper divisors (2354249041192).

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

2153522301344 is a wasteful number, since it uses less digits than its factorization.

2153522301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16426329 (or 16426321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2153522301344 its reverse (4431032253512), we get a palindrome (6584554554856).

The spelling of 2153522301344 in words is "two trillion, one hundred fifty-three billion, five hundred twenty-two million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 241 272 482 544 964 1928 3856 4097 7712 8194 16388 32776 65552 131104 16426061 32852122 65704244 131408488 262816976 279243037 525633952 558486074 1116972148 2233944296 3958680701 4467888592 7917361402 8935777184 15834722804 31669445608 63338891216 67297571917 126677782432 134595143834 269190287668 538380575336 1076761150672 2153522301344