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1037938681 = 13229211781
BaseRepresentation
bin111101110111011…
…010111111111001
32200100001202012101
4331313122333321
54111203014211
6250554343401
734502222203
oct7567327771
92610052171
101037938681
1149298676a
1224b72ab61
13137061700
149bbc5773
15611c75c1
hex3dddaff9

1037938681 has 12 divisors (see below), whose sum is σ = 1162683180. Its totient is φ = 925055040.

The previous prime is 1037938663. The next prime is 1037938691. The reversal of 1037938681 is 1868397301.

It can be written as a sum of positive squares in 6 ways, for example, as 202208400 + 835730281 = 14220^2 + 28909^2 .

It is not a de Polignac number, because 1037938681 - 29 = 1037938169 is a prime.

It is a super-2 number, since 2×10379386812 = 2154633411032039522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037938661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100990 + ... + 110791.

It is an arithmetic number, because the mean of its divisors is an integer number (96890265).

Almost surely, 21037938681 is an apocalyptic number.

It is an amenable number.

1037938681 is a deficient number, since it is larger than the sum of its proper divisors (124744499).

1037938681 is a wasteful number, since it uses less digits than its factorization.

1037938681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211836 (or 211823 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 1037938681 is about 32217.0557469177. The cubic root of 1037938681 is about 1012.4895877809.

The spelling of 1037938681 in words is "one billion, thirty-seven million, nine hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 13 29 169 377 4901 211781 2753153 6141649 35790989 79841437 1037938681