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42506535552 = 2731319743223
BaseRepresentation
bin100111100101100101…
…100100001010000000
311001201100112201212120
4213211211210022000
51144023133114202
631305514324240
73033231406425
oct474545441200
9131640481776
1042506535552
1117032916328
1282a3429680
13401545c6b0
1420b343dd4c
15118baa40bc
hex9e5964280

42506535552 has 128 divisors (see below), whose sum is σ = 122213266560. Its totient is φ = 13012242432.

The previous prime is 42506535527. The next prime is 42506535559. The reversal of 42506535552 is 25553560524.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42506535559) 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, 961813 + ... + 1005035.

It is an arithmetic number, because the mean of its divisors is an integer number (954791145).

Almost surely, 242506535552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42506535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61106633280).

42506535552 is an abundant number, since it is smaller than the sum of its proper divisors (79706731008).

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

42506535552 is a wasteful number, since it uses less digits than its factorization.

42506535552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43450 (or 43438 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 42506535552 in words is "forty-two billion, five hundred six million, five hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 197 208 312 384 394 416 591 624 788 832 1182 1248 1576 1664 2364 2496 2561 3152 4728 4992 5122 6304 7683 9456 10244 12608 15366 18912 20488 25216 30732 37824 40976 43223 61464 75648 81952 86446 122928 129669 163904 172892 245856 259338 327808 345784 491712 518676 561899 691568 983424 1037352 1123798 1383136 1685697 2074704 2247596 2766272 3371394 4149408 4495192 5532544 6742788 8298816 8514931 8990384 13485576 16597632 17029862 17980768 25544793 26971152 34059724 35961536 51089586 53942304 68119448 71923072 102179172 107884608 110694103 136238896 204358344 215769216 221388206 272477792 332082309 408716688 442776412 544955584 664164618 817433376 885552824 1089911168 1328329236 1634866752 1771105648 2656658472 3269733504 3542211296 5313316944 7084422592 10626633888 14168845184 21253267776 42506535552