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42554633645524 = 227111310628030381
BaseRepresentation
bin10011010110100000001011…
…10100100110110111010100
312120200011221120211022211211
421223100011310212313110
521034203342203124044
6230301155005111204
711651320330540510
oct1153200564466724
9176604846738754
1042554633645524
1112617356328910
124933458858504
131a98b669b6cb0
14a71926057140
154dbe24dae634
hex26b405d26dd4

42554633645524 has 48 divisors (see below), whose sum is σ = 99988509833856. Its totient is φ = 15304363747200.

The previous prime is 42554633645521. The next prime is 42554633645551.

It is a happy number.

42554633645524 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42554633645521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5314011187 + ... + 5314019194.

It is an arithmetic number, because the mean of its divisors is an integer number (2083093954872).

Almost surely, 242554633645524 is an apocalyptic number.

42554633645524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42554633645524 is an abundant number, since it is smaller than the sum of its proper divisors (57433876188332).

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

42554633645524 is a wasteful number, since it uses less digits than its factorization.

42554633645524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628030416 (or 10628030414 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

The spelling of 42554633645524 in words is "forty-two trillion, five hundred fifty-four billion, six hundred thirty-three million, six hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10628030381 21256060762 42512121524 74396212667 116908334191 138164394953 148792425334 233816668382 276328789906 297584850668 467633336764 552657579812 818358339337 967150764671 1519808344483 1636716678674 1934301529342 3039616688966 3273433357348 3868603058684 6079233377932 10638658411381 21277316822762 42554633645524