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38519427828 = 22372293172869
BaseRepresentation
bin100011110111111011…
…111101001011110100
310200102111002200022010
4203313323331023310
51112341433142303
625410125004220
72532355506600
oct436773751364
9120374080263
1038519427828
1115377238282
1275700b3670
13382b40315b
141c15ac4500
151006a28c03
hex8f7efd2f4

38519427828 has 144 divisors (see below), whose sum is σ = 111648499200. Its totient is φ = 10283132160.

The previous prime is 38519427803. The next prime is 38519427841. The reversal of 38519427828 is 82872491583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492178 + ... + 565046.

It is an arithmetic number, because the mean of its divisors is an integer number (775336800).

Almost surely, 238519427828 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 38519427828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55824249600).

38519427828 is an abundant number, since it is smaller than the sum of its proper divisors (73129071372).

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

38519427828 is a wasteful number, since it uses less digits than its factorization.

38519427828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72950 (or 72941 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 38519427828 in words is "thirty-eight billion, five hundred nineteen million, four hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 49 58 62 84 87 93 98 116 124 147 174 186 196 203 217 294 348 372 406 434 588 609 651 812 868 899 1218 1302 1421 1519 1798 2436 2604 2697 2842 3038 3596 4263 4557 5394 5684 6076 6293 8526 9114 10788 12586 17052 18228 18879 25172 37758 44051 72869 75516 88102 132153 145738 176204 218607 264306 291476 437214 510083 528612 874428 1020166 1530249 2040332 2113201 2258939 3060498 3570581 4226402 4517878 6120996 6339603 6776817 7141162 8452804 9035756 10711743 12679206 13553634 14282324 14792407 15812573 21423486 25358412 27107268 29584814 31625146 42846972 44377221 47437719 59169628 63250292 65509231 88754442 94875438 103546849 110688011 131018462 177508884 189750876 196527693 207093698 221376022 262036924 310640547 332064033 393055386 414187396 442752044 458564617 621281094 664128066 786110772 917129234 1242562188 1328256132 1375693851 1834258468 2751387702 3209952319 5502775404 6419904638 9629856957 12839809276 19259713914 38519427828