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42363553122 = 233112328310957
BaseRepresentation
bin100111011101000100…
…001000010101100010
311001100101111110212000
4213131010020111202
51143230032144442
631243405544430
73026544155142
oct473504102542
9131311443760
1042363553122
1116a6a137530
128263575116
133cc19499c7
14209c460922
15117e25dd4c
hex9dd108562

42363553122 has 128 divisors (see below), whose sum is σ = 107553208320. Its totient is φ = 12234784320.

The previous prime is 42363553109. The next prime is 42363553181. The reversal of 42363553122 is 22135536324.

42363553122 is a `hidden beast` number, since 4 + 2 + 3 + 635 + 5 + 3 + 12 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3860868 + ... + 3871824.

It is an arithmetic number, because the mean of its divisors is an integer number (840259440).

Almost surely, 242363553122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42363553122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53776604160).

42363553122 is an abundant number, since it is smaller than the sum of its proper divisors (65189655198).

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

42363553122 is a wasteful number, since it uses less digits than its factorization.

42363553122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11279 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 42363553122 in words is "forty-two billion, three hundred sixty-three million, five hundred fifty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 283 297 414 506 566 594 621 759 849 1242 1518 1698 2277 2547 3113 4554 5094 6226 6509 6831 7641 9339 10957 13018 13662 15282 18678 19527 21914 28017 32871 39054 56034 58581 65742 71599 84051 98613 117162 120527 143198 168102 175743 197226 214797 241054 252011 295839 351486 361581 429594 504022 591678 644391 723162 756033 1084743 1288782 1512066 1933173 2169486 2268099 2772121 3100831 3254229 3866346 4536198 5544242 6201662 6508458 6804297 8316363 9302493 13608594 16632726 18604986 24949089 27907479 34109141 49898178 55814958 68218282 71319113 74847267 83722437 102327423 142638226 149694534 167444874 204654846 213957339 306982269 427914678 613964538 641872017 784510243 920946807 1283744034 1569020486 1841893614 1925616051 2353530729 3851232102 4707061458 7060592187 14121184374 21181776561 42363553122