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27493778389401 = 32199287832
BaseRepresentation
bin1100100000001011001001…
…11001001111100110011001
310121100101020200120122000100
412100011210321033212121
512100424224231430101
6134250244544130013
75535234313241202
oct620054471174631
9117311220518010
1027493778389401
118840056159735
12310058a906909
131245862aab82c
146b09c529c5a9
1532a299da7e86
hex190164e4f999

27493778389401 has 27 divisors (see below), whose sum is σ = 39918347238549. Its totient is φ = 18235002726072.

The previous prime is 27493778389381. The next prime is 27493778389409. The reversal of 27493778389401 is 10498387739472.

The square root of 27493778389401 is 5243451.

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

27493778389401 is a `hidden beast` number, since 2 + 7 + 49 + 37 + 78 + 3 + 89 + 401 = 666.

It is not a de Polignac number, because 27493778389401 - 217 = 27493778258329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27493778389401.

It is not an unprimeable number, because it can be changed into a prime (27493778389409) 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, 3130335856 + ... + 3130344638.

Almost surely, 227493778389401 is an apocalyptic number.

27493778389401 is the 5243451-st square number.

27493778389401 is the 2621726-th centered octagonal number.

It is an amenable number.

27493778389401 is a deficient number, since it is larger than the sum of its proper divisors (12424568849148).

27493778389401 is an frugal number, since it uses more digits than its factorization.

27493778389401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 27493778389401 in words is "twenty-seven trillion, four hundred ninety-three billion, seven hundred seventy-eight million, three hundred eighty-nine thousand, four hundred one".

Divisors: 1 3 9 199 597 1791 8783 26349 39601 79047 118803 356409 1747817 5243451 15730353 77141089 231423267 347815583 694269801 1043446749 3130340247 15351076711 46053230133 138159690399 3054864265489 9164592796467 27493778389401