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157271082777 = 32124091408217
BaseRepresentation
bin1001001001111000010…
…1100100011100011001
3120000221111021210022200
42102132011210130121
510034042344122102
6200125505040413
714235216101214
oct2223605443431
9500844253280
10157271082777
1160775476276
1226591926109
1311aa4a99cc3
14787d31477b
1541570e451c
hex249e164719

157271082777 has 12 divisors (see below), whose sum is σ = 227187809940. Its totient is φ = 104838864768.

The previous prime is 157271082751. The next prime is 157271082803. The reversal of 157271082777 is 777280172751.

It is an interprime number because it is at equal distance from previous prime (157271082751) and next prime (157271082803).

It can be written as a sum of positive squares in 2 ways, for example, as 76230657801 + 81040424976 = 276099^2 + 284676^2 .

It is not a de Polignac number, because 157271082777 - 218 = 157270820633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157271082377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592428 + ... + 815789.

It is an arithmetic number, because the mean of its divisors is an integer number (18932317495).

Almost surely, 2157271082777 is an apocalyptic number.

It is an amenable number.

157271082777 is a deficient number, since it is larger than the sum of its proper divisors (69916727163).

157271082777 is a wasteful number, since it uses less digits than its factorization.

157271082777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420632 (or 1420629 counting only the distinct ones).

The product of its (nonzero) digits is 2689120, while the sum is 54.

The spelling of 157271082777 in words is "one hundred fifty-seven billion, two hundred seventy-one million, eighty-two thousand, seven hundred seventy-seven".

Divisors: 1 3 9 12409 37227 111681 1408217 4224651 12673953 17474564753 52423694259 157271082777