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42126626464 = 2513372736917
BaseRepresentation
bin100111001110111100…
…010100111010100000
311000201212200100120121
4213032330110322200
51142233404021324
631204103450024
73020636262646
oct471674247240
9130655610517
1042126626464
1116958422a7a
1281b8156914
133c84833a10
142078bc9196
15116855d5e4
hex9cef14ea0

42126626464 has 48 divisors (see below), whose sum is σ = 91730543688. Its totient is φ = 18917563392.

The previous prime is 42126626449. The next prime is 42126626483. The reversal of 42126626464 is 46462662124.

42126626464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25046227600 + 17080398864 = 158260^2 + 130692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42126626464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353067 + ... + 1383850.

Almost surely, 242126626464 is an apocalyptic number.

It is an amenable number.

42126626464 is an abundant number, since it is smaller than the sum of its proper divisors (49603917224).

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

42126626464 is a wasteful number, since it uses less digits than its factorization.

42126626464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736977 (or 2736969 counting only the distinct ones).

The product of its digits is 663552, while the sum is 43.

The spelling of 42126626464 in words is "forty-two billion, one hundred twenty-six million, six hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 2736917 5473834 10947668 21895336 35579921 43790672 71159842 87581344 101265929 142319684 202531858 284639368 405063716 569278736 810127432 1138557472 1316457077 1620254864 2632914154 3240509728 5265828308 10531656616 21063313232 42126626464