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21136746852 = 2234132386017
BaseRepresentation
bin10011101011110110…
…010010100101100100
32000120001111222210000
4103223312102211210
5321242001344402
613413213501300
71345534245444
oct235366224544
960501458700
1021136746852
118a67162831
12411a7a1830
131cbb053500
14104726c124
1583a95ec1c
hex4ebd92964

21136746852 has 90 divisors (see below), whose sum is σ = 59833176018. Its totient is φ = 6503597568.

The previous prime is 21136746847. The next prime is 21136746857. The reversal of 21136746852 is 25864763112.

21136746852 is a `hidden beast` number, since 2 + 1 + 136 + 7 + 468 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (21136746847) and next prime (21136746857).

It can be written as a sum of positive squares in 3 ways, for example, as 1439747136 + 19696999716 = 37944^2 + 140346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21136746798 and 21136746807.

It is not an unprimeable number, because it can be changed into a prime (21136746857) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 138253 + ... + 247764.

Almost surely, 221136746852 is an apocalyptic number.

It is an amenable number.

21136746852 is an abundant number, since it is smaller than the sum of its proper divisors (38696429166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21136746852 is a wasteful number, since it uses less digits than its factorization.

21136746852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386059 (or 386035 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 21136746852 in words is "twenty-one billion, one hundred thirty-six million, seven hundred forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 27378 54756 386017 772034 1158051 1544068 2316102 3474153 4632204 5018221 6948306 10036442 10422459 13896612 15054663 20072884 20844918 30109326 31267377 41689836 45163989 60218652 62534754 65236873 90327978 125069508 130473746 135491967 180655956 195710619 260947492 270983934 391421238 406475901 541967868 587131857 782842476 812951802 1174263714 1625903604 1761395571 2348527428 3522791142 5284186713 7045582284 10568373426 21136746852