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97574489977 = 1727310494409
BaseRepresentation
bin101101011011111100…
…1001000111101111001
3100022212010121200000011
41122313321020331321
53044313032134402
6112454115541521
710022662323466
oct1326771107571
9308763550004
1097574489977
113842128a568
1216ab15ba8a1
139280161703
144a18c8066d
152811324ed7
hex16b7e48f79

97574489977 has 24 divisors (see below), whose sum is σ = 105195699000. Its totient is φ = 90469933056.

The previous prime is 97574489953. The next prime is 97574490053. The reversal of 97574489977 is 77998447579.

It can be written as a sum of positive squares in 12 ways, for example, as 614494521 + 96959995456 = 24789^2 + 311384^2 .

It is a de Polignac number, because none of the positive numbers 2k-97574489977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97574489917) 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 23 ways as a sum of consecutive naturals, for example, 22128549 + ... + 22132957.

It is an arithmetic number, because the mean of its divisors is an integer number (4383154125).

Almost surely, 297574489977 is an apocalyptic number.

It is an amenable number.

97574489977 is a deficient number, since it is larger than the sum of its proper divisors (7621209023).

97574489977 is a wasteful number, since it uses less digits than its factorization.

97574489977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5548 counting only the distinct ones).

The product of its digits is 1120210560, while the sum is 76.

The spelling of 97574489977 in words is "ninety-seven billion, five hundred seventy-four million, four hundred eighty-nine thousand, nine hundred seventy-seven".

Divisors: 1 17 73 289 1049 1241 4409 17833 21097 74953 76577 303161 321857 1274201 1301809 4625041 5471569 22130753 78625697 93016673 337627993 1336636849 5739675881 97574489977