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97949560941 = 3285319976389
BaseRepresentation
bin101101100111000111…
…1111011000001101101
3100100211021101020122100
41123032033323001231
53101100041422231
6112555235005313
710035165350031
oct1331617730155
9310737336570
1097949560941
11385a3a78971
1216b97139839
13930ca851ab
144a529d61c1
1528342121e6
hex16ce3fb06d

97949560941 has 24 divisors (see below), whose sum is σ = 141741676440. Its totient is φ = 65180290176.

The previous prime is 97949560897. The next prime is 97949560987. The reversal of 97949560941 is 14906594979.

It can be written as a sum of positive squares in 4 ways, for example, as 27487982025 + 70461578916 = 165795^2 + 265446^2 .

It is not a de Polignac number, because 97949560941 - 211 = 97949558893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97949560441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15327775 + ... + 15334163.

It is an arithmetic number, because the mean of its divisors is an integer number (5905903185).

Almost surely, 297949560941 is an apocalyptic number.

It is an amenable number.

97949560941 is a deficient number, since it is larger than the sum of its proper divisors (43792115499).

97949560941 is a wasteful number, since it uses less digits than its factorization.

97949560941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 97949560941 in words is "ninety-seven billion, nine hundred forty-nine million, five hundred sixty thousand, nine hundred forty-one".

Divisors: 1 3 9 853 1997 2559 5991 6389 7677 17973 19167 57501 1703441 5110323 5449817 12758833 15330969 16349451 38276499 49048353 114829497 10883284549 32649853647 97949560941