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38724435438 = 23132343607827
BaseRepresentation
bin100100000100001001…
…111111110111101110
310200221202212010212120
4210010021333313232
51113301423413223
625442331013410
72540425161453
oct440411776756
9120852763776
1038724435438
1115471a30557
12760889a266
133861a21830
141c3500b82a
151019a21be3
hex90427fdee

38724435438 has 128 divisors (see below), whose sum is σ = 89311444992. Its totient is φ = 11100329856.

The previous prime is 38724435427. The next prime is 38724435457. The reversal of 38724435438 is 83453442783.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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, 46824781 + ... + 46825607.

It is an arithmetic number, because the mean of its divisors is an integer number (697745664).

Almost surely, 238724435438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38724435438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44655722496).

38724435438 is an abundant number, since it is smaller than the sum of its proper divisors (50587009554).

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

38724435438 is a wasteful number, since it uses less digits than its factorization.

38724435438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518.

The product of its digits is 7741440, while the sum is 51.

The spelling of 38724435438 in words is "thirty-eight billion, seven hundred twenty-four million, four hundred thirty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 258 299 559 598 607 827 897 989 1118 1214 1654 1677 1794 1821 1978 2481 2967 3354 3642 4962 5934 7891 10751 12857 13961 15782 19021 21502 23673 25714 26101 27922 32253 35561 38042 38571 41883 47346 52202 57063 64506 71122 77142 78303 83766 106683 114126 156606 181493 213366 247273 339313 362986 462293 494546 501989 544479 600323 678626 741819 817903 924586 1003978 1017939 1088958 1200646 1386879 1483638 1505967 1635806 1800969 2035878 2453709 2773758 3011934 3601938 4907418 6525857 7804199 10632739 11545747 13051714 15608398 19577571 21265478 21585527 23091494 23412597 31898217 34637241 39155142 43171054 46825194 63796434 64756581 69274482 129513162 150094711 280611851 300189422 450284133 496467121 561223702 841835553 900568266 992934242 1489401363 1683671106 2978802726 6454072573 12908145146 19362217719 38724435438