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230178334084425 = 32527571928970061
BaseRepresentation
bin110100010101100010010001…
…110101101000110101001001
31010011222211111212100221202100
4310111202101311220311021
5220132220212011200200
62133314244503024013
766324556460511306
oct6425422165506511
91104884455327670
10230178334084425
11673840a0943551
122199612a43b009
139b5895416b1bc
1440ba9958380ad
151b927001a1d00
hexd15891d68d49

230178334084425 has 72 divisors (see below), whose sum is σ = 412846882994520. Its totient is φ = 122591503641600.

The previous prime is 230178334084411. The next prime is 230178334084459. The reversal of 230178334084425 is 524480433871032.

230178334084425 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 78 + 33 + 40 + 84 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 52834566650121 + 177343767434304 = 7268739^2 + 13317048^2 .

It is not a de Polignac number, because 230178334084425 - 24 = 230178334084409 is a prime.

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, 3285363895 + ... + 3285433955.

It is an arithmetic number, because the mean of its divisors is an integer number (5733984486035).

Almost surely, 2230178334084425 is an apocalyptic number.

230178334084425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230178334084425 is a deficient number, since it is larger than the sum of its proper divisors (182668548910095).

230178334084425 is a wasteful number, since it uses less digits than its factorization.

230178334084425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90123 (or 90115 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 230178334084425 in words is "two hundred thirty trillion, one hundred seventy-eight billion, three hundred thirty-four million, eighty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 757 2271 3785 6813 11355 18925 19289 34065 56775 57867 70061 96445 170325 173601 210183 289335 350305 482225 630549 868005 1050915 1446675 1751525 3152745 4340025 5254575 14601773 15763725 43805319 53036177 73008865 131415957 159108531 219026595 265180885 365044325 477325593 657079785 795542655 1095132975 1325904425 1351406629 2386627965 3285398925 3977713275 4054219887 6757033145 11933139825 12162659661 20271099435 33785165725 60813298305 101355497175 304066491525 1023014818153 3069044454459 5115074090765 9207133363377 15345222272295 25575370453825 46035666816885 76726111361475 230178334084425