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2038204147 = 7259705017
BaseRepresentation
bin111100101111100…
…1000011011110011
312021001020111110111
41321133020123303
513133240013042
6534125442151
7101336310100
oct17137103363
95231214414
102038204147
11956570a41
1248a710357
13266362675
141549a1aa7
15bde0c517
hex797c86f3

2038204147 has 12 divisors (see below), whose sum is σ = 2411161560. Its totient is φ = 1717418976.

The previous prime is 2038204141. The next prime is 2038204153. The reversal of 2038204147 is 7414028302.

It is an interprime number because it is at equal distance from previous prime (2038204141) and next prime (2038204153).

It is not a de Polignac number, because 2038204147 - 215 = 2038171379 is a prime.

It is a super-2 number, since 2×20382041472 = 8308552289695995218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038204141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349618 + ... + 355399.

It is an arithmetic number, because the mean of its divisors is an integer number (200930130).

Almost surely, 22038204147 is an apocalyptic number.

2038204147 is a deficient number, since it is larger than the sum of its proper divisors (372957413).

2038204147 is an equidigital number, since it uses as much as digits as its factorization.

2038204147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705090 (or 705083 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2038204147 is about 45146.4743584701. The cubic root of 2038204147 is about 1267.8928720525.

The spelling of 2038204147 in words is "two billion, thirty-eight million, two hundred four thousand, one hundred forty-seven".

Divisors: 1 7 49 59 413 2891 705017 4935119 34545833 41596003 291172021 2038204147