Search a number
-
+
1631093761 = 11675633931
BaseRepresentation
bin110000100111000…
…1000010000000001
311012200012011000001
41201032020100001
511320030000021
6425504000001
755264032253
oct14116102001
94180164001
101631093761
11767789980
12396300001
131ccc0184b
141168a9cd3
15982e2091
hex61388401

1631093761 has 16 divisors (see below), whose sum is σ = 1809600768. Its totient is φ = 1457715600.

The previous prime is 1631093731. The next prime is 1631093771. The reversal of 1631093761 is 1673901361.

It is not a de Polignac number, because 1631093761 - 217 = 1630962689 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1631093761.

It is not an unprimeable number, because it can be changed into a prime (1631093731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412966 + ... + 416896.

It is an arithmetic number, because the mean of its divisors is an integer number (113100048).

Almost surely, 21631093761 is an apocalyptic number.

1631093761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1631093761 is a deficient number, since it is larger than the sum of its proper divisors (178507007).

1631093761 is a wasteful number, since it uses less digits than its factorization.

1631093761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 1631093761 is about 40386.8018169302. The cubic root of 1631093761 is about 1177.1350975237.

The spelling of 1631093761 in words is "one billion, six hundred thirty-one million, ninety-three thousand, seven hundred sixty-one".

Divisors: 1 11 67 563 737 3931 6193 37721 43241 263377 414931 2213153 2897147 24344683 148281251 1631093761