Search a number
-
+
97686877401 = 321041832
BaseRepresentation
bin101101011111010010…
…1110111010011011001
3100100010222002112120100
41122332211313103121
53100030320034101
6112513212450013
710025525520561
oct1327645672331
9310128075510
1097686877401
1138479771933
1216b23179909
13929a521649
144a29b77da1
15281b124e86
hex16be9774d9

97686877401 has 9 divisors (see below), whose sum is σ = 141104621749. Its totient is φ = 65123959836.

The previous prime is 97686877399. The next prime is 97686877411. The reversal of 97686877401 is 10477868679.

The square root of 97686877401 is 312549.

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

97686877401 is a `hidden beast` number, since 9 + 76 + 86 + 87 + 7 + 401 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 97686877401 - 21 = 97686877399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97686877411) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 885556 + ... + 989738.

Almost surely, 297686877401 is an apocalyptic number.

97686877401 is the 312549-th square number.

97686877401 is the 156275-th centered octagonal number.

It is an amenable number.

97686877401 is a deficient number, since it is larger than the sum of its proper divisors (43417744348).

97686877401 is an frugal number, since it uses more digits than its factorization.

97686877401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208372 (or 104186 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 97686877401 in words is "ninety-seven billion, six hundred eighty-six million, eight hundred seventy-seven thousand, four hundred one".

Divisors: 1 3 9 104183 312549 937647 10854097489 32562292467 97686877401