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38734214428 = 227213311074583
BaseRepresentation
bin100100000100101111…
…010011010100011100
310200222110020222010101
4210010233103110130
51113311424330203
625443320350444
72540604250600
oct440457232434
9120873228111
1038734214428
11154774aa668
127610015424
133863a66910
141c36435500
15101a80441d
hex904bd351c

38734214428 has 144 divisors (see below), whose sum is σ = 88495110144. Its totient is φ = 14687326080.

The previous prime is 38734214353. The next prime is 38734214429. The reversal of 38734214428 is 82441243783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38734214429) 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, 8449425 + ... + 8454007.

It is an arithmetic number, because the mean of its divisors is an integer number (614549376).

Almost surely, 238734214428 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 38734214428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44247555072).

38734214428 is an abundant number, since it is smaller than the sum of its proper divisors (49760895716).

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

38734214428 is a wasteful number, since it uses less digits than its factorization.

38734214428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4743 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The spelling of 38734214428 in words is "thirty-eight billion, seven hundred thirty-four million, two hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 107 124 182 196 214 217 364 403 428 434 637 749 806 868 1274 1391 1498 1519 1612 2548 2782 2821 2996 3038 3317 4583 5243 5564 5642 6076 6634 9166 9737 10486 11284 13268 18332 19474 19747 20972 23219 32081 38948 39494 43121 46438 59579 64162 68159 78988 86242 92876 119158 128324 136318 142073 162533 172484 224567 238316 272636 284146 301847 325066 417053 449134 490381 568292 603694 650132 834106 898268 980762 994511 1207388 1668212 1846949 1961524 1989022 2112929 2919371 3432667 3693898 3978044 4225858 5838742 6374953 6865334 6961577 7387796 8451716 11677484 12749906 12928643 13730668 13923154 15201811 24028669 25499812 25857286 27846308 30403622 44624671 48057338 51714572 60807244 89249342 90500501 96114676 106412677 178498684 181001002 197623543 212825354 312372697 362002004 395247086 425650708 624745394 744888739 790494172 1249490788 1383364801 1489777478 2766729602 2979554956 5533459204 9683553607 19367107214 38734214428