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13495701241 = 1125921792
BaseRepresentation
bin11001001000110100…
…00000111011111001
31021211112112122201201
430210122000323321
5210114344414431
610111055414201
7655302365521
oct144432007371
937745478651
1013495701241
1157a5a76100
122747824361
131370cb0249
14920522681
1553ec1b461
hex324680ef9

13495701241 has 27 divisors (see below), whose sum is σ = 15174576613. Its totient is φ = 11993494040.

The previous prime is 13495701239. The next prime is 13495701251. The reversal of 13495701241 is 14210759431.

It is a happy number.

The square root of 13495701241 is 116171.

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

It is not a de Polignac number, because 13495701241 - 21 = 13495701239 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13495701241.

It is not an unprimeable number, because it can be changed into a prime (13495701221) 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, 75394890 + ... + 75395068.

Almost surely, 213495701241 is an apocalyptic number.

13495701241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13495701241 is the 116171-st square number.

13495701241 is the 58086-th centered octagonal number.

It is an amenable number.

13495701241 is a deficient number, since it is larger than the sum of its proper divisors (1678875372).

13495701241 is an frugal number, since it uses more digits than its factorization.

13495701241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 13495701241 in words is "thirteen billion, four hundred ninety-five million, seven hundred one thousand, two hundred forty-one".

Divisors: 1 11 59 121 179 649 1969 3481 7139 10561 21659 32041 38291 116171 352451 421201 623099 1277881 1890419 3876961 6854089 20794609 75394979 111534721 228740699 1226881931 13495701241