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99432378241 = 7210724212
BaseRepresentation
bin101110010011010100…
…0011010111110000001
3100111122121120011120121
41130212220122332001
53112114142100431
6113402324540241
710120012161400
oct1344650327601
9314577504517
1099432378241
1139194a92509
121732b851681
1394b803c491
144b53905637
1528be4b5611
hex1726a1af81

99432378241 has 27 divisors (see below), whose sum is σ = 117035323587. Its totient is φ = 84230682480.

The previous prime is 99432378239. The next prime is 99432378247. The reversal of 99432378241 is 14287323499.

The square root of 99432378241 is 315329.

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

It can be written as a sum of positive squares in only one way, i.e., 471801841 + 98960576400 = 21721^2 + 314580^2 .

It is not a de Polignac number, because 99432378241 - 21 = 99432378239 is a prime.

It is a super-2 number, since 2×994323782412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99432378247) 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, 236181211 + ... + 236181631.

Almost surely, 299432378241 is an apocalyptic number.

99432378241 is the 315329-th square number.

99432378241 is the 157665-th centered octagonal number.

It is an amenable number.

99432378241 is a deficient number, since it is larger than the sum of its proper divisors (17602945346).

99432378241 is an frugal number, since it uses more digits than its factorization.

99432378241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 99432378241 in words is "ninety-nine billion, four hundred thirty-two million, three hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 7 49 107 421 749 2947 5243 11449 20629 45047 80143 177241 315329 561001 1240687 2207303 4820029 8684809 18964787 33740203 132753509 236181421 929274563 2029232209 14204625463 99432378241