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980693617149 = 32297549497741
BaseRepresentation
bin11100100010101011110…
…01010000100111111101
310110202100020001120002100
432101111321100213331
5112031430031222044
62030305135415313
7130565334130401
oct16212571204775
93422306046070
10980693617149
11348a00a86794
1213a094384539
137162c506c6c
1435674317101
151a79b85b869
hexe455e509fd

980693617149 has 24 divisors (see below), whose sum is σ = 1465601319000. Its totient is φ = 631166175360.

The previous prime is 980693617139. The next prime is 980693617177. The reversal of 980693617149 is 941716396089.

980693617149 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 9 + 3 + 617 + 1 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371502440100 + 609191177049 = 609510^2 + 780507^2 .

It is not a de Polignac number, because 980693617149 - 24 = 980693617133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980693617139) 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, 1721419 + ... + 2219159.

It is an arithmetic number, because the mean of its divisors is an integer number (61066721625).

Almost surely, 2980693617149 is an apocalyptic number.

It is an amenable number.

980693617149 is a deficient number, since it is larger than the sum of its proper divisors (484907701851).

980693617149 is a wasteful number, since it uses less digits than its factorization.

980693617149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505325 (or 505322 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 980693617149 in words is "nine hundred eighty billion, six hundred ninety-three million, six hundred seventeen thousand, one hundred forty-nine".

Divisors: 1 3 9 29 87 261 7549 22647 67941 218921 497741 656763 1493223 1970289 4479669 14434489 43303467 129910401 3757446809 11272340427 33817021281 108965957461 326897872383 980693617149