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2975311417 = 133611492
BaseRepresentation
bin1011000101010111…
…1010011000111001
321200100120110222011
42301111322120321
522043134431132
61211123125521
7133505505211
oct26125723071
97610513864
102975311417
111297538561
126b05138a1
1338554c000
1420321b241
15126318b47
hexb157a639

2975311417 has 24 divisors (see below), whose sum is σ = 3298113560. Its totient is φ = 2683287360.

The previous prime is 2975311393. The next prime is 2975311421. The reversal of 2975311417 is 7141135792.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2192486976 + 782824441 = 46824^2 + 27979^2 .

It is not a de Polignac number, because 2975311417 - 231 = 827827769 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 2975311417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975311447) 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 23 ways as a sum of consecutive naturals, for example, 19968459 + ... + 19968607.

Almost surely, 22975311417 is an apocalyptic number.

It is an amenable number.

2975311417 is a deficient number, since it is larger than the sum of its proper divisors (322802143).

2975311417 is an frugal number, since it uses more digits than its factorization.

2975311417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 223 counting only the distinct ones).

The product of its digits is 52920, while the sum is 40.

The square root of 2975311417 is about 54546.4152534335. The cubic root of 2975311417 is about 1438.2823232191.

The spelling of 2975311417 in words is "two billion, nine hundred seventy-five million, three hundred eleven thousand, four hundred seventeen".

Divisors: 1 13 61 149 169 793 1937 2197 9089 10309 22201 25181 118157 134017 288613 327353 1354261 1536041 3751969 17605393 19968533 48775597 228870109 2975311417