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1999138660281 = 367274812
BaseRepresentation
bin11101000101110101111…
…100110001111110111001
321002010010102002021000000
4131011311330301332321
5230223213444112111
64130220331303213
7264301343144400
oct35056574617671
97063112067000
101999138660281
11700914724584
122835435aab09
13116696c857b9
146ca8a318637
153700758ac56
hex1d175f31fb9

1999138660281 has 63 divisors (see below), whose sum is σ = 3487164091743. Its totient is φ = 1142212246560.

The previous prime is 1999138660151. The next prime is 1999138660289. The reversal of 1999138660281 is 1820668319991.

The square root of 1999138660281 is 1413909.

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

1999138660281 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 13 + 8 + 6 + 602 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1734860413881 + 264278246400 = 1317141^2 + 514080^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1999138660281 - 29 = 1999138659769 is a prime.

It is a super-2 number, since 2×19991386602812 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1999138660289) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 267225061 + ... + 267232541.

Almost surely, 21999138660281 is an apocalyptic number.

1999138660281 is the 1413909-th square number.

1999138660281 is the 706955-th centered octagonal number.

It is an amenable number.

1999138660281 is a deficient number, since it is larger than the sum of its proper divisors (1488025431462).

1999138660281 is an frugal number, since it uses more digits than its factorization.

1999138660281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 1999138660281 in words is "one trillion, nine hundred ninety-nine billion, one hundred thirty-eight million, six hundred sixty thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 7481 11907 22443 35721 52367 67329 157101 201987 366569 471303 605961 1099707 1413909 1817883 3299121 4241727 5453649 9897363 12725181 29692089 38175543 55965361 89076267 167896083 267228801 391757527 503688249 1175272581 1511064747 2742302689 3525817743 4533194241 8226908067 10577453229 13599582723 24680724201 31732359687 40798748169 74042172603 95197079061 222126517809 285591237183 666379553427 1999138660281