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1937132292481 = 149293412
BaseRepresentation
bin11100001100000110000…
…101010000100110000001
320212012002002011102001021
4130030012011100212001
5223214221331324411
64041523431505441
7256644641544031
oct34140605204601
96765062142037
101937132292481
11687595750711
12273519828281
13110894961a39
1469a871cd8c1
15355c8b18a71
hex1c306150981

1937132292481 has 9 divisors (see below), whose sum is σ = 1950429237673. Its totient is φ = 1923925416880.

The previous prime is 1937132292373. The next prime is 1937132292509. The reversal of 1937132292481 is 1842922317391.

The square root of 1937132292481 is 1391809.

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

It can be written as a sum of positive squares in 4 ways, for example, as 695958046081 + 1241174246400 = 834241^2 + 1114080^2 .

It is not a de Polignac number, because 1937132292481 - 211 = 1937132290433 is a prime.

It is a super-2 number, since 2×19371322924812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1937132292881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 207374871 + ... + 207384211.

Almost surely, 21937132292481 is an apocalyptic number.

1937132292481 is the 1391809-th square number.

1937132292481 is the 695905-th centered octagonal number.

It is an amenable number.

1937132292481 is a deficient number, since it is larger than the sum of its proper divisors (13296945192).

1937132292481 is an frugal number, since it uses more digits than its factorization.

1937132292481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18980 (or 9490 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 1937132292481 in words is "one trillion, nine hundred thirty-seven billion, one hundred thirty-two million, two hundred ninety-two thousand, four hundred eighty-one".

Divisors: 1 149 9341 22201 1391809 87254281 207379541 13000887869 1937132292481