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53417582442 = 23275364112479
BaseRepresentation
bin110001101111111011…
…111001111101101010
312002212202121100101100
4301233323321331222
51333344400114232
640312324102230
73600510646650
oct615773717552
9162782540340
1053417582442
1120721918354
12a429534976
135063b10763
14282a596dd0
1515c9921c7c
hexc6fef9f6a

53417582442 has 96 divisors (see below), whose sum is σ = 134988871680. Its totient is φ = 14949642240.

The previous prime is 53417582441. The next prime is 53417582447. The reversal of 53417582442 is 24428571435.

53417582442 is a `hidden beast` number, since 5 + 34 + 175 + 8 + 2 + 442 = 666.

It is a super-2 number, since 2×534175824422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53417582441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4274359 + ... + 4286837.

It is an arithmetic number, because the mean of its divisors is an integer number (1406134080).

Almost surely, 253417582442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53417582442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67494435840).

53417582442 is an abundant number, since it is smaller than the sum of its proper divisors (81571289238).

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

53417582442 is a wasteful number, since it uses less digits than its factorization.

53417582442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13185 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 53417582442 in words is "fifty-three billion, four hundred seventeen million, five hundred eighty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 641 742 954 1113 1282 1923 2226 3339 3846 4487 5769 6678 8974 11538 12479 13461 24958 26922 33973 37437 40383 67946 74874 80766 87353 101919 112311 174706 203838 224622 237811 262059 305757 475622 524118 611514 661387 713433 786177 1322774 1426866 1572354 1984161 2140299 3968322 4280598 4629709 5952483 7999039 9259418 11904966 13889127 15998078 23997117 27778254 41667381 47994234 55993273 71991351 83334762 111986546 143982702 167979819 335959638 423949067 503939457 847898134 1007878914 1271847201 2543694402 2967643469 3815541603 5935286938 7631083206 8902930407 17805860814 26708791221 53417582442