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2138961249 = 34157168197
BaseRepresentation
bin111111101111101…
…1111010101100001
312112001211111020000
41333133133111201
513340033224444
6552125210213
7104001604425
oct17737372541
95461744200
102138961249
119a842a277
124b8400969
132811ac959
1416410cb85
15c7bb1469
hex7f7df561

2138961249 has 20 divisors (see below), whose sum is σ = 3215609364. Its totient is φ = 1416883104.

The previous prime is 2138961241. The next prime is 2138961257. The reversal of 2138961249 is 9421698312.

2138961249 is a `hidden beast` number, since 21 + 3 + 8 + 9 + 612 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (2138961241) and next prime (2138961257).

It can be written as a sum of positive squares in 2 ways, for example, as 1228853025 + 910108224 = 35055^2 + 30168^2 .

It is not a de Polignac number, because 2138961249 - 23 = 2138961241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2138961241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71382 + ... + 96815.

Almost surely, 22138961249 is an apocalyptic number.

It is an amenable number.

2138961249 is a deficient number, since it is larger than the sum of its proper divisors (1076648115).

2138961249 is a wasteful number, since it uses less digits than its factorization.

2138961249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168366 (or 168357 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2138961249 is about 46248.9053816412. The cubic root of 2138961249 is about 1288.4502048163.

The spelling of 2138961249 in words is "two billion, one hundred thirty-eight million, nine hundred sixty-one thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 157 471 1413 4239 12717 168197 504591 1513773 4541319 13623957 26406929 79220787 237662361 712987083 2138961249