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5133628941 = 371723960167
BaseRepresentation
bin1001100011111110…
…01111011000001101
3111020202211101000020
410301333033120031
541003202111231
62205223252353
7241134061140
oct46177173015
914222741006
105133628941
1121a4888451
12bb32aa0b9
1363a74807c
14369b28057
15200a50396
hex131fcf60d

5133628941 has 32 divisors (see below), whose sum is σ = 8317624320. Its totient is φ = 2749345536.

The previous prime is 5133628939. The next prime is 5133628949. The reversal of 5133628941 is 1498263315.

It is not a de Polignac number, because 5133628941 - 21 = 5133628939 is a prime.

It is a super-2 number, since 2×51336289412 = 52708292207745562962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5133628893 and 5133628902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133628949) 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 31 ways as a sum of consecutive naturals, for example, 55240 + ... + 115406.

It is an arithmetic number, because the mean of its divisors is an integer number (259925760).

Almost surely, 25133628941 is an apocalyptic number.

5133628941 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5133628941 is a deficient number, since it is larger than the sum of its proper divisors (3183995379).

5133628941 is a wasteful number, since it uses less digits than its factorization.

5133628941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60433.

The product of its digits is 155520, while the sum is 42.

The square root of 5133628941 is about 71649.3471079814. The cubic root of 5133628941 is about 1725.0757024538.

The spelling of 5133628941 in words is "five billion, one hundred thirty-three million, six hundred twenty-eight thousand, nine hundred forty-one".

Divisors: 1 3 7 17 21 51 119 239 357 717 1673 4063 5019 12189 28441 60167 85323 180501 421169 1022839 1263507 3068517 7159873 14379913 21479619 43139739 100659391 244458521 301978173 733375563 1711209647 5133628941