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278463068416 = 28132432592
BaseRepresentation
bin1000000110101011011…
…00010011100100000000
3222121202120101112201101
410003111230103210000
514030243021142131
6331531341544144
726055401012341
oct4032554234400
9877676345641
10278463068416
11a8106162895
1245b74875054
1320349c00a00
14d698aa20c8
15739ba50c61
hex40d5b13900

278463068416 has 243 divisors, whose sum is σ = 626828205969. Its totient is φ = 123404875776.

The previous prime is 278463068339. The next prime is 278463068419. The reversal of 278463068416 is 614860364872.

It is a happy number.

The square root of 278463068416 is 527696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41192761600 + 237270306816 = 202960^2 + 487104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (278463068419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4719712995 + ... + 4719713053.

Almost surely, 2278463068416 is an apocalyptic number.

278463068416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

278463068416 is the 527696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 278463068416

278463068416 is an abundant number, since it is smaller than the sum of its proper divisors (348365137553).

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

278463068416 is an frugal number, since it uses more digits than its factorization.

278463068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 278463068416 in words is "two hundred seventy-eight billion, four hundred sixty-three million, sixty-eight thousand, four hundred sixteen".