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238563382638 = 23731035631999
BaseRepresentation
bin1101111000101101111…
…1000101010101101110
3211210202220002111110110
43132023133011111232
512402034211221023
6301332225120450
723143552203000
oct3361337052556
9753686074413
10238563382638
11921a08a0369
123a29a489126
131965b871c99
14b791968370
156313c81a93
hex378b7c556e

238563382638 has 128 divisors (see below), whose sum is σ = 563097600000. Its totient is φ = 67345610976.

The previous prime is 238563382619. The next prime is 238563382643. The reversal of 238563382638 is 836283365832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119340363 + ... + 119342361.

It is an arithmetic number, because the mean of its divisors is an integer number (4399200000).

Almost surely, 2238563382638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238563382638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281548800000).

238563382638 is an abundant number, since it is smaller than the sum of its proper divisors (324534217362).

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

238563382638 is a wasteful number, since it uses less digits than its factorization.

238563382638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2677 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 57.

The spelling of 238563382638 in words is "two hundred thirty-eight billion, five hundred sixty-three million, three hundred eighty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 343 563 618 686 721 1029 1126 1442 1689 1999 2058 2163 3378 3941 3998 4326 5047 5997 7882 10094 11823 11994 13993 15141 23646 27587 27986 30282 35329 41979 55174 57989 70658 82761 83958 97951 105987 115978 165522 173967 193109 195902 205897 211974 293853 347934 386218 405923 411794 579327 587706 617691 685657 811846 1125437 1158654 1217769 1235382 1371314 1441279 2056971 2250874 2435538 2841461 2882558 3376311 4113942 4323837 5682922 6752622 7878059 8524383 8647674 10088953 15756118 17048766 19890227 20177906 23634177 30266859 39780454 47268354 55146413 59670681 60533718 70622671 110292826 115920011 119341362 141245342 165439239 211868013 231840022 330878478 347760033 386024891 423736026 695520066 772049782 811440077 1158074673 1622880154 2316149346 2434320231 4868640462 5680080539 11360161078 17040241617 34080483234 39760563773 79521127546 119281691319 238563382638