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126016345501046 = 271113292170525087
BaseRepresentation
bin11100101001110001110111…
…100000100110110101110110
3121112012001012210021001222022
4130221301313200212311312
5113004122433422013141
61124003035424433142
735354244342154340
oct3451616740466566
9545161183231868
10126016345501046
1137175260883510
121217298b1787b2
1355413a0cb2180
14231931ba4a290
15e87e935ceb4b
hex729c77826d76

126016345501046 has 64 divisors (see below), whose sum is σ = 262546714644480. Its totient is φ = 43757785733760.

The previous prime is 126016345500953. The next prime is 126016345501049. The reversal of 126016345501046 is 640105543610621.

It is a junction number, because it is equal to n+sod(n) for n = 126016345500988 and 126016345501006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126016345501049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085204486 + ... + 1085320601.

It is an arithmetic number, because the mean of its divisors is an integer number (4102292416320).

Almost surely, 2126016345501046 is an apocalyptic number.

126016345501046 is an abundant number, since it is smaller than the sum of its proper divisors (136530369143434).

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

126016345501046 is a wasteful number, since it uses less digits than its factorization.

126016345501046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170525149.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 126016345501046 in words is "one hundred twenty-six trillion, sixteen billion, three hundred forty-five million, five hundred one thousand, forty-six".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 638 754 1001 2002 2233 2639 4147 4466 5278 8294 29029 58058 2170525087 4341050174 15193675609 23875775957 28216826131 30387351218 47751551914 56433652262 62945227523 125890455046 167130431699 197517782917 310385087441 334260863398 395035565834 440616592661 620770174882 692397502753 818287957799 881233185322 1384795005506 1636575915598 2172695612087 4345391224174 4846782519271 5728015704593 9001167535789 9693565038542 11456031409186 18002335071578 63008172750523 126016345501046