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2154026142225 = 325229593556693
BaseRepresentation
bin11111010110000101111…
…101101000101000010001
321121220220210012120200100
4133112011331220220101
5240242421143022400
64325313531443013
7311423530053216
oct37260575505021
97556823176610
102154026142225
11760576669201
122a956abb6469
1312817bc892b9
1476380c3bb0d
153b070298100
hex1f585f68a11

2154026142225 has 72 divisors (see below), whose sum is σ = 3997875693240. Its totient is φ = 1107327191040.

The previous prime is 2154026142217. The next prime is 2154026142241. The reversal of 2154026142225 is 5222416204512.

2154026142225 is a `hidden beast` number, since 2 + 15 + 4 + 0 + 2 + 614 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1192536073089 + 961490069136 = 1092033^2 + 980556^2 .

It is not a de Polignac number, because 2154026142225 - 23 = 2154026142217 is a prime.

It is a super-4 number, since 4×21540261422254 (a number of 50 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2154026142225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3590979 + ... + 4147671.

It is an arithmetic number, because the mean of its divisors is an integer number (55526051295).

Almost surely, 22154026142225 is an apocalyptic number.

2154026142225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2154026142225 is a deficient number, since it is larger than the sum of its proper divisors (1843849551015).

2154026142225 is a wasteful number, since it uses less digits than its factorization.

2154026142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557331 (or 557323 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2154026142225 in words is "two trillion, one hundred fifty-four billion, twenty-six million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 593 725 1305 1779 2175 2965 5337 6525 8895 14825 17197 26685 44475 51591 85985 133425 154773 257955 429925 556693 773865 1289775 1670079 2783465 3869325 5010237 8350395 13917325 16144097 25051185 41751975 48432291 80720485 125255925 145296873 242161455 330118949 403602425 726484365 990356847 1210807275 1650594745 2971070541 3632421825 4951784235 8252973725 9573449521 14855352705 24758921175 28720348563 47867247605 74276763525 86161045689 143601742815 239336238025 430805228445 718008714075 2154026142225