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5502354144 = 25378239949
BaseRepresentation
bin1010001111111011…
…10100001011100000
3112012110122112220020
411013331310023200
542232100313034
62305554313440
7253232144550
oct50775641340
915173575806
105502354144
112373a32121
121096888880
13698c59371
143a2aab160
152230d7249
hex147f742e0

5502354144 has 96 divisors (see below), whose sum is σ = 16528780800. Its totient is φ = 1570033152.

The previous prime is 5502354139. The next prime is 5502354161. The reversal of 5502354144 is 4414532055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55023541442 = 60551802251987945472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548082 + ... + 558030.

It is an arithmetic number, because the mean of its divisors is an integer number (172174800).

Almost surely, 25502354144 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 5502354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264390400).

5502354144 is an abundant number, since it is smaller than the sum of its proper divisors (11026426656).

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

5502354144 is a wasteful number, since it uses less digits than its factorization.

5502354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5502354144 is about 74177.8548085613. The cubic root of 5502354144 is about 1765.4259786590.

Adding to 5502354144 its reverse (4414532055), we get a palindrome (9916886199).

The spelling of 5502354144 in words is "five billion, five hundred two million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 823 1646 2469 3292 4938 5761 6584 9876 9949 11522 13168 17283 19752 19898 23044 26336 29847 34566 39504 39796 46088 59694 69132 69643 79008 79592 92176 119388 138264 139286 159184 184352 208929 238776 276528 278572 318368 417858 477552 553056 557144 835716 955104 1114288 1671432 2228576 3342864 6685728 8188027 16376054 24564081 32752108 49128162 57316189 65504216 98256324 114632378 131008432 171948567 196512648 229264756 262016864 343897134 393025296 458529512 687794268 786050592 917059024 1375588536 1834118048 2751177072 5502354144