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5254150016088 = 2333101977246509
BaseRepresentation
bin100110001110101001110…
…1111101100110001011000
3200121021212202012122101000
41030131103233230301120
51142040444401003323
615101420113225000
71051412510153151
oct114352357546130
920537782178330
105254150016088
1117462aa788276
1270a358262160
132c1605b7ab7c
141424333dc928
1591a14a44e43
hex4c753becc58

5254150016088 has 128 divisors (see below), whose sum is σ = 14754510936000. Its totient is φ = 1732261017600.

The previous prime is 5254150016041. The next prime is 5254150016099. The reversal of 5254150016088 is 8806100514525.

5254150016088 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 1 + 500 + 1 + 60 + 88 = 666.

It is a super-3 number, since 3×52541500160883 (a number of 39 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21190978 + ... + 21437486.

Almost surely, 25254150016088 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 5254150016088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377255468000).

5254150016088 is an abundant number, since it is smaller than the sum of its proper divisors (9500360919912).

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

5254150016088 is a wasteful number, since it uses less digits than its factorization.

5254150016088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247602 (or 247592 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 5254150016088 in words is "five trillion, two hundred fifty-four billion, one hundred fifty million, sixteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 977 1212 1818 1954 2424 2727 2931 3636 3908 5454 5862 7272 7816 8793 10908 11724 17586 21816 23448 26379 35172 52758 70344 98677 105516 197354 211032 246509 296031 394708 493018 592062 739527 789416 888093 986036 1184124 1479054 1776186 1972072 2218581 2368248 2664279 2958108 3552372 4437162 5328558 5916216 6655743 7104744 8874324 10657116 13311486 17748648 21314232 24897409 26622972 49794818 53245944 74692227 99589636 149384454 199179272 224076681 240839293 298768908 448153362 481678586 597537816 672230043 722517879 896306724 963357172 1344460086 1445035758 1792613448 1926714344 2167553637 2688920172 2890071516 4335107274 5377840344 5780143032 6502660911 8670214548 13005321822 17340429096 24324768593 26010643644 48649537186 52021287288 72974305779 97299074372 145948611558 194598148744 218922917337 291897223116 437845834674 583794446232 656768752011 875691669348 1313537504022 1751383338696 2627075008044 5254150016088