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988157271721 = 19211324632
BaseRepresentation
bin11100110000100101100…
…00110101111010101001
310111110121101020111101011
432120102300311322221
5112142221230143341
62033541515423521
7131251313136304
oct16302260657251
93443541214334
10988157271721
11351091022954
1213b617a54ba1
137224b8aaa09
1435b81687b3b
151aa86c0eb81
hexe612c35ea9

988157271721 has 27 divisors (see below), whose sum is σ = 1054491238359. Its totient is φ = 925860462912.

The previous prime is 988157271709. The next prime is 988157271779. The reversal of 988157271721 is 127172751889.

It is a happy number.

The square root of 988157271721 is 994061.

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

988157271721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17412122025 + 970745149696 = 131955^2 + 985264^2 .

It is not a de Polignac number, because 988157271721 - 225 = 988123717289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (988157271701) 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, 2134248736 + ... + 2134249198.

Almost surely, 2988157271721 is an apocalyptic number.

988157271721 is the 994061-st square number.

988157271721 is the 497031-st centered octagonal number.

It is an amenable number.

988157271721 is a deficient number, since it is larger than the sum of its proper divisors (66333966638).

988157271721 is an frugal number, since it uses more digits than its factorization.

988157271721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 58.

The spelling of 988157271721 in words is "nine hundred eighty-eight billion, one hundred fifty-seven million, two hundred seventy-one thousand, seven hundred twenty-one".

Divisors: 1 19 113 361 463 2147 8797 12769 40793 52319 167143 214369 242611 994061 4073011 4609609 5912047 18887159 24223697 77387209 112328893 460250243 2134248967 2737277761 8744754617 52008277459 988157271721