Search a number
-
+
126100351365156 = 223271434013489503
BaseRepresentation
bin11100101011000000000110…
…101001100011000000100100
3121112111002001022010010110200
4130223000012221203000210
5113012012004422141111
61124105411321550500
735363310155215140
oct3453000651430044
9545432038103420
10126100351365156
11371a7949a09593
1212187114645430
13554929b00c87c
14231d40a824220
15e8a25d5d1256
hex72b006a63024

126100351365156 has 72 divisors (see below), whose sum is σ = 364292548698624. Its totient is φ = 36028410249600.

The previous prime is 126100351365127. The next prime is 126100351365337. The reversal of 126100351365156 is 651563153001621.

126100351365156 is a `hidden beast` number, since 1 + 2 + 6 + 100 + 35 + 1 + 365 + 156 = 666.

It is a super-2 number, since 2×1261003513651562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34392301 + ... + 37881803.

Almost surely, 2126100351365156 is an apocalyptic number.

It is an amenable number.

126100351365156 is an abundant number, since it is smaller than the sum of its proper divisors (238192197333468).

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

126100351365156 is a wasteful number, since it uses less digits than its factorization.

126100351365156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632921 (or 3632916 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 126100351365156 in words is "one hundred twenty-six trillion, one hundred billion, three hundred fifty-one million, three hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 143401 286802 430203 573604 860406 1003807 1290609 1720812 2007614 2581218 3011421 3489503 4015228 5162436 6022842 6979006 9034263 10468509 12045684 13958012 18068526 20937018 24426521 31405527 36137052 41874036 48853042 62811054 73279563 97706084 125622108 146559126 219838689 293118252 439677378 879354756 500398219703 1000796439406 1501194659109 2001592878812 3002389318218 3502787537921 4503583977327 6004778636436 7005575075842 9007167954654 10508362613763 14011150151684 18014335909308 21016725227526 31525087841289 42033450455052 63050175682578 126100351365156